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Finding the Fourth Proportional to 114,282.50, 157,704.57 and 63,291.78

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Solution

The fourth proportional to 114,282.50, 157,704.57 and 63,291.78 is: 87,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,282.50 : 157,704.57 = 63,291.78 : x
  2. Step 2: Convert to fraction form
    114,282.50/157,704.57 = 63,291.78/x
  3. Step 3: Cross multiply
    114,282.50x = 157,704.57 × 63,291.78
  4. Step 4: Simplify right side
    114,282.50x = 9,981,402,949.43
  5. Step 5: Solve for x
    x = 9,981,402,949.43/114,282.50
  6. Step 6: Final answer
    x = 87,339.74

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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.