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Finding the Fourth Proportional to 152,057.60, 228,086.40 and 67,817.60

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Solution

The fourth proportional to 152,057.60, 228,086.40 and 67,817.60 is: 101,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,057.60 : 228,086.40 = 67,817.60 : x
  2. Step 2: Convert to fraction form
    152,057.60/228,086.40 = 67,817.60/x
  3. Step 3: Cross multiply
    152,057.60x = 228,086.40 × 67,817.60
  4. Step 4: Simplify right side
    152,057.60x = 15,468,272,240.64
  5. Step 5: Solve for x
    x = 15,468,272,240.64/152,057.60
  6. Step 6: Final answer
    x = 101,726.40

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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.