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Finding the Fourth Proportional to 136,773.50, 205,018.13 and 56,854.88

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Solution

The fourth proportional to 136,773.50, 205,018.13 and 56,854.88 is: 85,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,773.50 : 205,018.13 = 56,854.88 : x
  2. Step 2: Convert to fraction form
    136,773.50/205,018.13 = 56,854.88/x
  3. Step 3: Cross multiply
    136,773.50x = 205,018.13 × 56,854.88
  4. Step 4: Simplify right side
    136,773.50x = 11,656,279,869.61
  5. Step 5: Solve for x
    x = 11,656,279,869.61/136,773.50
  6. Step 6: Final answer
    x = 85,223.24

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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.