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Finding the Fourth Proportional to 132,384.78, 198,577.08 and 53,499.06

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Solution

The fourth proportional to 132,384.78, 198,577.08 and 53,499.06 is: 80,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.78 : 198,577.08 = 53,499.06 : x
  2. Step 2: Convert to fraction form
    132,384.78/198,577.08 = 53,499.06/x
  3. Step 3: Cross multiply
    132,384.78x = 198,577.08 × 53,499.06
  4. Step 4: Simplify right side
    132,384.78x = 10,623,687,117.54
  5. Step 5: Solve for x
    x = 10,623,687,117.54/132,384.78
  6. Step 6: Final answer
    x = 80,248.55

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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.