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Finding the Fourth Proportional to 148,055.29, 204,310.88 and 84,380.78

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Solution

The fourth proportional to 148,055.29, 204,310.88 and 84,380.78 is: 116,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,055.29 : 204,310.88 = 84,380.78 : x
  2. Step 2: Convert to fraction form
    148,055.29/204,310.88 = 84,380.78/x
  3. Step 3: Cross multiply
    148,055.29x = 204,310.88 × 84,380.78
  4. Step 4: Simplify right side
    148,055.29x = 17,239,911,505.76
  5. Step 5: Solve for x
    x = 17,239,911,505.76/148,055.29
  6. Step 6: Final answer
    x = 116,442.39

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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.