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Finding the Fourth Proportional to 138,285.84, 207,253.80 and 88,346.64

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Solution

The fourth proportional to 138,285.84, 207,253.80 and 88,346.64 is: 132,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,285.84 : 207,253.80 = 88,346.64 : x
  2. Step 2: Convert to fraction form
    138,285.84/207,253.80 = 88,346.64/x
  3. Step 3: Cross multiply
    138,285.84x = 207,253.80 × 88,346.64
  4. Step 4: Simplify right side
    138,285.84x = 18,310,176,857.23
  5. Step 5: Solve for x
    x = 18,310,176,857.23/138,285.84
  6. Step 6: Final answer
    x = 132,408.18

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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.