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Finding the Fourth Proportional to 186,854.14, 280,384.89 and 76,037.50

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Solution

The fourth proportional to 186,854.14, 280,384.89 and 76,037.50 is: 114,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854.14 : 280,384.89 = 76,037.50 : x
  2. Step 2: Convert to fraction form
    186,854.14/280,384.89 = 76,037.50/x
  3. Step 3: Cross multiply
    186,854.14x = 280,384.89 × 76,037.50
  4. Step 4: Simplify right side
    186,854.14x = 21,319,766,073.38
  5. Step 5: Solve for x
    x = 21,319,766,073.38/186,854.14
  6. Step 6: Final answer
    x = 114,098.44

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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.