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Finding the Fourth Proportional to 537,129.59, 805,694.56 and 137,770.31

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Solution

The fourth proportional to 537,129.59, 805,694.56 and 137,770.31 is: 206,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,129.59 : 805,694.56 = 137,770.31 : x
  2. Step 2: Convert to fraction form
    537,129.59/805,694.56 = 137,770.31/x
  3. Step 3: Cross multiply
    537,129.59x = 805,694.56 × 137,770.31
  4. Step 4: Simplify right side
    537,129.59x = 111,000,790,966.32
  5. Step 5: Solve for x
    x = 111,000,790,966.32/537,129.59
  6. Step 6: Final answer
    x = 206,655.51

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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.