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Finding the Fourth Proportional to 137,756.66, 206,714.71 and 57,787.47

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Solution

The fourth proportional to 137,756.66, 206,714.71 and 57,787.47 is: 86,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,756.66 : 206,714.71 = 57,787.47 : x
  2. Step 2: Convert to fraction form
    137,756.66/206,714.71 = 57,787.47/x
  3. Step 3: Cross multiply
    137,756.66x = 206,714.71 × 57,787.47
  4. Step 4: Simplify right side
    137,756.66x = 11,945,520,102.68
  5. Step 5: Solve for x
    x = 11,945,520,102.68/137,756.66
  6. Step 6: Final answer
    x = 86,714.65

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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.