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Finding the Fourth Proportional to 233,115.60, 349,932.60 and 144,469.20

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Solution

The fourth proportional to 233,115.60, 349,932.60 and 144,469.20 is: 216,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,115.60 : 349,932.60 = 144,469.20 : x
  2. Step 2: Convert to fraction form
    233,115.60/349,932.60 = 144,469.20/x
  3. Step 3: Cross multiply
    233,115.60x = 349,932.60 × 144,469.20
  4. Step 4: Simplify right side
    233,115.60x = 50,554,482,775.92
  5. Step 5: Solve for x
    x = 50,554,482,775.92/233,115.60
  6. Step 6: Final answer
    x = 216,864.43

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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.