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Finding the Fourth Proportional to 178,460.16, 267,735.24 and 125,972.16

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Solution

The fourth proportional to 178,460.16, 267,735.24 and 125,972.16 is: 188,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,460.16 : 267,735.24 = 125,972.16 : x
  2. Step 2: Convert to fraction form
    178,460.16/267,735.24 = 125,972.16/x
  3. Step 3: Cross multiply
    178,460.16x = 267,735.24 × 125,972.16
  4. Step 4: Simplify right side
    178,460.16x = 33,727,186,490.92
  5. Step 5: Solve for x
    x = 33,727,186,490.92/178,460.16
  6. Step 6: Final answer
    x = 188,990.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.