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Finding the Fourth Proportional to 110,510.64, 165,767.11 and 88,464.16

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Solution

The fourth proportional to 110,510.64, 165,767.11 and 88,464.16 is: 132,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,510.64 : 165,767.11 = 88,464.16 : x
  2. Step 2: Convert to fraction form
    110,510.64/165,767.11 = 88,464.16/x
  3. Step 3: Cross multiply
    110,510.64x = 165,767.11 × 88,464.16
  4. Step 4: Simplify right side
    110,510.64x = 14,664,448,141.78
  5. Step 5: Solve for x
    x = 14,664,448,141.78/110,510.64
  6. Step 6: Final answer
    x = 132,697.16

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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.