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Finding the Fourth Proportional to 110,509.64, 165,765.61 and 88,463.16

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Solution

The fourth proportional to 110,509.64, 165,765.61 and 88,463.16 is: 132,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.64 : 165,765.61 = 88,463.16 : x
  2. Step 2: Convert to fraction form
    110,509.64/165,765.61 = 88,463.16/x
  3. Step 3: Cross multiply
    110,509.64x = 165,765.61 × 88,463.16
  4. Step 4: Simplify right side
    110,509.64x = 14,664,149,168.89
  5. Step 5: Solve for x
    x = 14,664,149,168.89/110,509.64
  6. Step 6: Final answer
    x = 132,695.66

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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.