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Finding the Fourth Proportional to 137,781, 206,684.56 and 53,547.66

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Solution

The fourth proportional to 137,781, 206,684.56 and 53,547.66 is: 80,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781 : 206,684.56 = 53,547.66 : x
  2. Step 2: Convert to fraction form
    137,781/206,684.56 = 53,547.66/x
  3. Step 3: Cross multiply
    137,781x = 206,684.56 × 53,547.66
  4. Step 4: Simplify right side
    137,781x = 11,067,474,031.76
  5. Step 5: Solve for x
    x = 11,067,474,031.76/137,781
  6. Step 6: Final answer
    x = 80,326.56

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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.