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Finding the Fourth Proportional to 133,824.52, 200,814.52 and 59,952.52

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Solution

The fourth proportional to 133,824.52, 200,814.52 and 59,952.52 is: 89,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.52 : 200,814.52 = 59,952.52 : x
  2. Step 2: Convert to fraction form
    133,824.52/200,814.52 = 59,952.52/x
  3. Step 3: Cross multiply
    133,824.52x = 200,814.52 × 59,952.52
  4. Step 4: Simplify right side
    133,824.52x = 12,039,336,526.59
  5. Step 5: Solve for x
    x = 12,039,336,526.59/133,824.52
  6. Step 6: Final answer
    x = 89,963.61

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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.