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Finding the Fourth Proportional to 255,350.88, 383,052.24 and 97,711.92

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Solution

The fourth proportional to 255,350.88, 383,052.24 and 97,711.92 is: 146,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,350.88 : 383,052.24 = 97,711.92 : x
  2. Step 2: Convert to fraction form
    255,350.88/383,052.24 = 97,711.92/x
  3. Step 3: Cross multiply
    255,350.88x = 383,052.24 × 97,711.92
  4. Step 4: Simplify right side
    255,350.88x = 37,428,769,830.70
  5. Step 5: Solve for x
    x = 37,428,769,830.70/255,350.88
  6. Step 6: Final answer
    x = 146,577.80

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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.