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Finding the Fourth Proportional to 110,400.83, 165,462.40 and 59,797.88

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Solution

The fourth proportional to 110,400.83, 165,462.40 and 59,797.88 is: 89,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,400.83 : 165,462.40 = 59,797.88 : x
  2. Step 2: Convert to fraction form
    110,400.83/165,462.40 = 59,797.88/x
  3. Step 3: Cross multiply
    110,400.83x = 165,462.40 × 59,797.88
  4. Step 4: Simplify right side
    110,400.83x = 9,894,300,739.71
  5. Step 5: Solve for x
    x = 9,894,300,739.71/110,400.83
  6. Step 6: Final answer
    x = 89,621.62

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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.