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Finding the Fourth Proportional to 138,546.40, 207,819.60 and 99,018.40

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Solution

The fourth proportional to 138,546.40, 207,819.60 and 99,018.40 is: 148,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546.40 : 207,819.60 = 99,018.40 : x
  2. Step 2: Convert to fraction form
    138,546.40/207,819.60 = 99,018.40/x
  3. Step 3: Cross multiply
    138,546.40x = 207,819.60 × 99,018.40
  4. Step 4: Simplify right side
    138,546.40x = 20,577,964,280.64
  5. Step 5: Solve for x
    x = 20,577,964,280.64/138,546.40
  6. Step 6: Final answer
    x = 148,527.60

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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.