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Finding the Fourth Proportional to 103,378.65, 142,500.90 and 86,438.97

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Solution

The fourth proportional to 103,378.65, 142,500.90 and 86,438.97 is: 119,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,378.65 : 142,500.90 = 86,438.97 : x
  2. Step 2: Convert to fraction form
    103,378.65/142,500.90 = 86,438.97/x
  3. Step 3: Cross multiply
    103,378.65x = 142,500.90 × 86,438.97
  4. Step 4: Simplify right side
    103,378.65x = 12,317,631,020.07
  5. Step 5: Solve for x
    x = 12,317,631,020.07/103,378.65
  6. Step 6: Final answer
    x = 119,150.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.