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Finding the Fourth Proportional to 102,915, 142,022.70 and 55,811

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Solution

The fourth proportional to 102,915, 142,022.70 and 55,811 is: 77,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915 : 142,022.70 = 55,811 : x
  2. Step 2: Convert to fraction form
    102,915/142,022.70 = 55,811/x
  3. Step 3: Cross multiply
    102,915x = 142,022.70 × 55,811
  4. Step 4: Simplify right side
    102,915x = 7,926,428,909.70
  5. Step 5: Solve for x
    x = 7,926,428,909.70/102,915
  6. Step 6: Final answer
    x = 77,019.18

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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.