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Finding the Fourth Proportional to 137,042.66, 205,565.08 and 48,275.84

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Solution

The fourth proportional to 137,042.66, 205,565.08 and 48,275.84 is: 72,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.66 : 205,565.08 = 48,275.84 : x
  2. Step 2: Convert to fraction form
    137,042.66/205,565.08 = 48,275.84/x
  3. Step 3: Cross multiply
    137,042.66x = 205,565.08 × 48,275.84
  4. Step 4: Simplify right side
    137,042.66x = 9,923,826,911.67
  5. Step 5: Solve for x
    x = 9,923,826,911.67/137,042.66
  6. Step 6: Final answer
    x = 72,414.14

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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.