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Finding the Fourth Proportional to 502,102.08, 753,152.97 and 147,116

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Solution

The fourth proportional to 502,102.08, 753,152.97 and 147,116 is: 220,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,102.08 : 753,152.97 = 147,116 : x
  2. Step 2: Convert to fraction form
    502,102.08/753,152.97 = 147,116/x
  3. Step 3: Cross multiply
    502,102.08x = 753,152.97 × 147,116
  4. Step 4: Simplify right side
    502,102.08x = 110,800,852,334.52
  5. Step 5: Solve for x
    x = 110,800,852,334.52/502,102.08
  6. Step 6: Final answer
    x = 220,673.96

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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.