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Finding the Fourth Proportional to 145,213.60, 217,826.80 and 82,032.80

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Solution

The fourth proportional to 145,213.60, 217,826.80 and 82,032.80 is: 123,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213.60 : 217,826.80 = 82,032.80 : x
  2. Step 2: Convert to fraction form
    145,213.60/217,826.80 = 82,032.80/x
  3. Step 3: Cross multiply
    145,213.60x = 217,826.80 × 82,032.80
  4. Step 4: Simplify right side
    145,213.60x = 17,868,942,319.04
  5. Step 5: Solve for x
    x = 17,868,942,319.04/145,213.60
  6. Step 6: Final answer
    x = 123,052.82

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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.