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Finding the Fourth Proportional to 107,158.91, 160,705.55 and 74,091.47

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Solution

The fourth proportional to 107,158.91, 160,705.55 and 74,091.47 is: 111,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,158.91 : 160,705.55 = 74,091.47 : x
  2. Step 2: Convert to fraction form
    107,158.91/160,705.55 = 74,091.47/x
  3. Step 3: Cross multiply
    107,158.91x = 160,705.55 × 74,091.47
  4. Step 4: Simplify right side
    107,158.91x = 11,906,911,023.65
  5. Step 5: Solve for x
    x = 11,906,911,023.65/107,158.91
  6. Step 6: Final answer
    x = 111,114.52

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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.