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Finding the Fourth Proportional to 502,101.08, 753,151.47 and 147,115

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Solution

The fourth proportional to 502,101.08, 753,151.47 and 147,115 is: 220,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,101.08 : 753,151.47 = 147,115 : x
  2. Step 2: Convert to fraction form
    502,101.08/753,151.47 = 147,115/x
  3. Step 3: Cross multiply
    502,101.08x = 753,151.47 × 147,115
  4. Step 4: Simplify right side
    502,101.08x = 110,799,878,509.05
  5. Step 5: Solve for x
    x = 110,799,878,509.05/502,101.08
  6. Step 6: Final answer
    x = 220,672.46

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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.