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Finding the Fourth Proportional to 152,385.30, 228,059.55 and 133,722.90

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Solution

The fourth proportional to 152,385.30, 228,059.55 and 133,722.90 is: 200,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,385.30 : 228,059.55 = 133,722.90 : x
  2. Step 2: Convert to fraction form
    152,385.30/228,059.55 = 133,722.90/x
  3. Step 3: Cross multiply
    152,385.30x = 228,059.55 × 133,722.90
  4. Step 4: Simplify right side
    152,385.30x = 30,496,784,398.70
  5. Step 5: Solve for x
    x = 30,496,784,398.70/152,385.30
  6. Step 6: Final answer
    x = 200,129.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.