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Finding the Fourth Proportional to 282,059.52, 423,069.36 and 132,332.64

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Solution

The fourth proportional to 282,059.52, 423,069.36 and 132,332.64 is: 198,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,059.52 : 423,069.36 = 132,332.64 : x
  2. Step 2: Convert to fraction form
    282,059.52/423,069.36 = 132,332.64/x
  3. Step 3: Cross multiply
    282,059.52x = 423,069.36 × 132,332.64
  4. Step 4: Simplify right side
    282,059.52x = 55,985,885,311.91
  5. Step 5: Solve for x
    x = 55,985,885,311.91/282,059.52
  6. Step 6: Final answer
    x = 198,489.61

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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.