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Finding the Fourth Proportional to 107,319.60, 160,825.80 and 74,449.20

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Solution

The fourth proportional to 107,319.60, 160,825.80 and 74,449.20 is: 111,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,319.60 : 160,825.80 = 74,449.20 : x
  2. Step 2: Convert to fraction form
    107,319.60/160,825.80 = 74,449.20/x
  3. Step 3: Cross multiply
    107,319.60x = 160,825.80 × 74,449.20
  4. Step 4: Simplify right side
    107,319.60x = 11,973,352,149.36
  5. Step 5: Solve for x
    x = 11,973,352,149.36/107,319.60
  6. Step 6: Final answer
    x = 111,567.25

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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.