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Finding the Fourth Proportional to 114,187.38, 157,729.20 and 87,657.72

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Solution

The fourth proportional to 114,187.38, 157,729.20 and 87,657.72 is: 121,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,187.38 : 157,729.20 = 87,657.72 : x
  2. Step 2: Convert to fraction form
    114,187.38/157,729.20 = 87,657.72/x
  3. Step 3: Cross multiply
    114,187.38x = 157,729.20 × 87,657.72
  4. Step 4: Simplify right side
    114,187.38x = 13,826,182,049.42
  5. Step 5: Solve for x
    x = 13,826,182,049.42/114,187.38
  6. Step 6: Final answer
    x = 121,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.