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Finding the Fourth Proportional to 153,343.98, 230,037.57 and 53,489.61

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Solution

The fourth proportional to 153,343.98, 230,037.57 and 53,489.61 is: 80,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,343.98 : 230,037.57 = 53,489.61 : x
  2. Step 2: Convert to fraction form
    153,343.98/230,037.57 = 53,489.61/x
  3. Step 3: Cross multiply
    153,343.98x = 230,037.57 × 53,489.61
  4. Step 4: Simplify right side
    153,343.98x = 12,304,619,904.65
  5. Step 5: Solve for x
    x = 12,304,619,904.65/153,343.98
  6. Step 6: Final answer
    x = 80,241.95

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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.