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Finding the Fourth Proportional to 102,449.65, 141,376.81 and 59,429.99

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Solution

The fourth proportional to 102,449.65, 141,376.81 and 59,429.99 is: 82,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449.65 : 141,376.81 = 59,429.99 : x
  2. Step 2: Convert to fraction form
    102,449.65/141,376.81 = 59,429.99/x
  3. Step 3: Cross multiply
    102,449.65x = 141,376.81 × 59,429.99
  4. Step 4: Simplify right side
    102,449.65x = 8,402,022,404.53
  5. Step 5: Solve for x
    x = 8,402,022,404.53/102,449.65
  6. Step 6: Final answer
    x = 82,011.24

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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.