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Finding the Fourth Proportional to 110,509.80, 165,909.24 and 65,613.12

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Solution

The fourth proportional to 110,509.80, 165,909.24 and 65,613.12 is: 98,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.80 : 165,909.24 = 65,613.12 : x
  2. Step 2: Convert to fraction form
    110,509.80/165,909.24 = 65,613.12/x
  3. Step 3: Cross multiply
    110,509.80x = 165,909.24 × 65,613.12
  4. Step 4: Simplify right side
    110,509.80x = 10,885,822,873.23
  5. Step 5: Solve for x
    x = 10,885,822,873.23/110,509.80
  6. Step 6: Final answer
    x = 98,505.50

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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.