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Finding the Fourth Proportional to 188,211.90, 282,068.64 and 138,057.15

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Solution

The fourth proportional to 188,211.90, 282,068.64 and 138,057.15 is: 206,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,211.90 : 282,068.64 = 138,057.15 : x
  2. Step 2: Convert to fraction form
    188,211.90/282,068.64 = 138,057.15/x
  3. Step 3: Cross multiply
    188,211.90x = 282,068.64 × 138,057.15
  4. Step 4: Simplify right side
    188,211.90x = 38,941,592,542.78
  5. Step 5: Solve for x
    x = 38,941,592,542.78/188,211.90
  6. Step 6: Final answer
    x = 206,902.92

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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.