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Finding the Fourth Proportional to 132,224.56, 182,451.52 and 77,779.20

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Solution

The fourth proportional to 132,224.56, 182,451.52 and 77,779.20 is: 107,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224.56 : 182,451.52 = 77,779.20 : x
  2. Step 2: Convert to fraction form
    132,224.56/182,451.52 = 77,779.20/x
  3. Step 3: Cross multiply
    132,224.56x = 182,451.52 × 77,779.20
  4. Step 4: Simplify right side
    132,224.56x = 14,190,933,264.38
  5. Step 5: Solve for x
    x = 14,190,933,264.38/132,224.56
  6. Step 6: Final answer
    x = 107,324.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.