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Finding the Fourth Proportional to 113,357.70, 169,633.35 and 98,727.30

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Solution

The fourth proportional to 113,357.70, 169,633.35 and 98,727.30 is: 147,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,357.70 : 169,633.35 = 98,727.30 : x
  2. Step 2: Convert to fraction form
    113,357.70/169,633.35 = 98,727.30/x
  3. Step 3: Cross multiply
    113,357.70x = 169,633.35 × 98,727.30
  4. Step 4: Simplify right side
    113,357.70x = 16,747,442,635.46
  5. Step 5: Solve for x
    x = 16,747,442,635.46/113,357.70
  6. Step 6: Final answer
    x = 147,739.79

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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.