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Finding the Fourth Proportional to 502,137.27, 753,255.51 and 165,041.19

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Solution

The fourth proportional to 502,137.27, 753,255.51 and 165,041.19 is: 247,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,137.27 : 753,255.51 = 165,041.19 : x
  2. Step 2: Convert to fraction form
    502,137.27/753,255.51 = 165,041.19/x
  3. Step 3: Cross multiply
    502,137.27x = 753,255.51 × 165,041.19
  4. Step 4: Simplify right side
    502,137.27x = 124,318,185,744.46
  5. Step 5: Solve for x
    x = 124,318,185,744.46/502,137.27
  6. Step 6: Final answer
    x = 247,578.09

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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.