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Finding the Fourth Proportional to 102,044.60, 153,139.80 and 42,922.70

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Solution

The fourth proportional to 102,044.60, 153,139.80 and 42,922.70 is: 64,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.60 : 153,139.80 = 42,922.70 : x
  2. Step 2: Convert to fraction form
    102,044.60/153,139.80 = 42,922.70/x
  3. Step 3: Cross multiply
    102,044.60x = 153,139.80 × 42,922.70
  4. Step 4: Simplify right side
    102,044.60x = 6,573,173,693.46
  5. Step 5: Solve for x
    x = 6,573,173,693.46/102,044.60
  6. Step 6: Final answer
    x = 64,414.71

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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.