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Finding the Fourth Proportional to 113,871.95, 170,826.15 and 57,689.30

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Solution

The fourth proportional to 113,871.95, 170,826.15 and 57,689.30 is: 86,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,871.95 : 170,826.15 = 57,689.30 : x
  2. Step 2: Convert to fraction form
    113,871.95/170,826.15 = 57,689.30/x
  3. Step 3: Cross multiply
    113,871.95x = 170,826.15 × 57,689.30
  4. Step 4: Simplify right side
    113,871.95x = 9,854,840,161.06
  5. Step 5: Solve for x
    x = 9,854,840,161.06/113,871.95
  6. Step 6: Final answer
    x = 86,543.18

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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.