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Finding the Fourth Proportional to 101,877.60, 152,515.08 and 75,698.40

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Solution

The fourth proportional to 101,877.60, 152,515.08 and 75,698.40 is: 113,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,877.60 : 152,515.08 = 75,698.40 : x
  2. Step 2: Convert to fraction form
    101,877.60/152,515.08 = 75,698.40/x
  3. Step 3: Cross multiply
    101,877.60x = 152,515.08 × 75,698.40
  4. Step 4: Simplify right side
    101,877.60x = 11,545,147,531.87
  5. Step 5: Solve for x
    x = 11,545,147,531.87/101,877.60
  6. Step 6: Final answer
    x = 113,323.71

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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.