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Finding the Fourth Proportional to 138,645.16, 208,045.50 and 55,545.64

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Solution

The fourth proportional to 138,645.16, 208,045.50 and 55,545.64 is: 83,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645.16 : 208,045.50 = 55,545.64 : x
  2. Step 2: Convert to fraction form
    138,645.16/208,045.50 = 55,545.64/x
  3. Step 3: Cross multiply
    138,645.16x = 208,045.50 × 55,545.64
  4. Step 4: Simplify right side
    138,645.16x = 11,556,020,446.62
  5. Step 5: Solve for x
    x = 11,556,020,446.62/138,645.16
  6. Step 6: Final answer
    x = 83,349.61

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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.