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Finding the Fourth Proportional to 127,624, 176,121.12 and 71,034.16

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Solution

The fourth proportional to 127,624, 176,121.12 and 71,034.16 is: 98,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,624 : 176,121.12 = 71,034.16 : x
  2. Step 2: Convert to fraction form
    127,624/176,121.12 = 71,034.16/x
  3. Step 3: Cross multiply
    127,624x = 176,121.12 × 71,034.16
  4. Step 4: Simplify right side
    127,624x = 12,510,615,817.46
  5. Step 5: Solve for x
    x = 12,510,615,817.46/127,624
  6. Step 6: Final answer
    x = 98,027.14

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Why These Related Problems?

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