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Finding the Fourth Proportional to 231,065.97, 318,886.01 and 129,091.98

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Solution

The fourth proportional to 231,065.97, 318,886.01 and 129,091.98 is: 178,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,065.97 : 318,886.01 = 129,091.98 : x
  2. Step 2: Convert to fraction form
    231,065.97/318,886.01 = 129,091.98/x
  3. Step 3: Cross multiply
    231,065.97x = 318,886.01 × 129,091.98
  4. Step 4: Simplify right side
    231,065.97x = 41,165,625,779.74
  5. Step 5: Solve for x
    x = 41,165,625,779.74/231,065.97
  6. Step 6: Final answer
    x = 178,155.29

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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.