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Finding the Fourth Proportional to 137,501.10, 206,251.65 and 106,397.10

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Solution

The fourth proportional to 137,501.10, 206,251.65 and 106,397.10 is: 159,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,501.10 : 206,251.65 = 106,397.10 : x
  2. Step 2: Convert to fraction form
    137,501.10/206,251.65 = 106,397.10/x
  3. Step 3: Cross multiply
    137,501.10x = 206,251.65 × 106,397.10
  4. Step 4: Simplify right side
    137,501.10x = 21,944,577,430.22
  5. Step 5: Solve for x
    x = 21,944,577,430.22/137,501.10
  6. Step 6: Final answer
    x = 159,595.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.