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Finding the Fourth Proportional to 502,092.32, 753,138.35 and 147,106.22

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Solution

The fourth proportional to 502,092.32, 753,138.35 and 147,106.22 is: 220,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,092.32 : 753,138.35 = 147,106.22 : x
  2. Step 2: Convert to fraction form
    502,092.32/753,138.35 = 147,106.22/x
  3. Step 3: Cross multiply
    502,092.32x = 753,138.35 × 147,106.22
  4. Step 4: Simplify right side
    502,092.32x = 110,791,335,070.01
  5. Step 5: Solve for x
    x = 110,791,335,070.01/502,092.32
  6. Step 6: Final answer
    x = 220,659.29

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.