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Finding the Fourth Proportional to 142,080, 213,123.84 and 43,584

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Solution

The fourth proportional to 142,080, 213,123.84 and 43,584 is: 65,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080 : 213,123.84 = 43,584 : x
  2. Step 2: Convert to fraction form
    142,080/213,123.84 = 43,584/x
  3. Step 3: Cross multiply
    142,080x = 213,123.84 × 43,584
  4. Step 4: Simplify right side
    142,080x = 9,288,789,442.56
  5. Step 5: Solve for x
    x = 9,288,789,442.56/142,080
  6. Step 6: Final answer
    x = 65,377.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.