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Finding the Fourth Proportional to 113,651.29, 170,534.51 and 75,726.48

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Solution

The fourth proportional to 113,651.29, 170,534.51 and 75,726.48 is: 113,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,651.29 : 170,534.51 = 75,726.48 : x
  2. Step 2: Convert to fraction form
    113,651.29/170,534.51 = 75,726.48/x
  3. Step 3: Cross multiply
    113,651.29x = 170,534.51 × 75,726.48
  4. Step 4: Simplify right side
    113,651.29x = 12,913,978,350.14
  5. Step 5: Solve for x
    x = 12,913,978,350.14/113,651.29
  6. Step 6: Final answer
    x = 113,628.09

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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.