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Finding the Fourth Proportional to 114,197.38, 157,591.58 and 65,781.65

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Solution

The fourth proportional to 114,197.38, 157,591.58 and 65,781.65 is: 90,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,197.38 : 157,591.58 = 65,781.65 : x
  2. Step 2: Convert to fraction form
    114,197.38/157,591.58 = 65,781.65/x
  3. Step 3: Cross multiply
    114,197.38x = 157,591.58 × 65,781.65
  4. Step 4: Simplify right side
    114,197.38x = 10,366,634,223.58
  5. Step 5: Solve for x
    x = 10,366,634,223.58/114,197.38
  6. Step 6: Final answer
    x = 90,778.22

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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.