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Finding the Fourth Proportional to 152,022.80, 228,034.20 and 149,949.20

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Solution

The fourth proportional to 152,022.80, 228,034.20 and 149,949.20 is: 224,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,022.80 : 228,034.20 = 149,949.20 : x
  2. Step 2: Convert to fraction form
    152,022.80/228,034.20 = 149,949.20/x
  3. Step 3: Cross multiply
    152,022.80x = 228,034.20 × 149,949.20
  4. Step 4: Simplify right side
    152,022.80x = 34,193,545,862.64
  5. Step 5: Solve for x
    x = 34,193,545,862.64/152,022.80
  6. Step 6: Final answer
    x = 224,923.80

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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.