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Finding the Fourth Proportional to 127,022.14, 175,309.75 and 72,585.76

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Solution

The fourth proportional to 127,022.14, 175,309.75 and 72,585.76 is: 100,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,022.14 : 175,309.75 = 72,585.76 : x
  2. Step 2: Convert to fraction form
    127,022.14/175,309.75 = 72,585.76/x
  3. Step 3: Cross multiply
    127,022.14x = 175,309.75 × 72,585.76
  4. Step 4: Simplify right side
    127,022.14x = 12,724,991,257.70
  5. Step 5: Solve for x
    x = 12,724,991,257.70/127,022.14
  6. Step 6: Final answer
    x = 100,179.32

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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.