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Finding the Fourth Proportional to 506,742.60, 760,138.38 and 132,765.96

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Solution

The fourth proportional to 506,742.60, 760,138.38 and 132,765.96 is: 199,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,742.60 : 760,138.38 = 132,765.96 : x
  2. Step 2: Convert to fraction form
    506,742.60/760,138.38 = 132,765.96/x
  3. Step 3: Cross multiply
    506,742.60x = 760,138.38 × 132,765.96
  4. Step 4: Simplify right side
    506,742.60x = 100,920,501,753.55
  5. Step 5: Solve for x
    x = 100,920,501,753.55/506,742.60
  6. Step 6: Final answer
    x = 199,155.35

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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.