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Finding the Fourth Proportional to 128,503.14, 177,318.68 and 71,138.13

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Solution

The fourth proportional to 128,503.14, 177,318.68 and 71,138.13 is: 98,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,503.14 : 177,318.68 = 71,138.13 : x
  2. Step 2: Convert to fraction form
    128,503.14/177,318.68 = 71,138.13/x
  3. Step 3: Cross multiply
    128,503.14x = 177,318.68 × 71,138.13
  4. Step 4: Simplify right side
    128,503.14x = 12,614,118,953.58
  5. Step 5: Solve for x
    x = 12,614,118,953.58/128,503.14
  6. Step 6: Final answer
    x = 98,161.95

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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.