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Finding the Fourth Proportional to 188,020.90, 282,117.47 and 81,437.46

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Solution

The fourth proportional to 188,020.90, 282,117.47 and 81,437.46 is: 122,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,020.90 : 282,117.47 = 81,437.46 : x
  2. Step 2: Convert to fraction form
    188,020.90/282,117.47 = 81,437.46/x
  3. Step 3: Cross multiply
    188,020.90x = 282,117.47 × 81,437.46
  4. Step 4: Simplify right side
    188,020.90x = 22,974,930,178.43
  5. Step 5: Solve for x
    x = 22,974,930,178.43/188,020.90
  6. Step 6: Final answer
    x = 122,193.49

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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.