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Finding the Fourth Proportional to 109,752.55, 164,515.80 and 43,165.69

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Solution

The fourth proportional to 109,752.55, 164,515.80 and 43,165.69 is: 64,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752.55 : 164,515.80 = 43,165.69 : x
  2. Step 2: Convert to fraction form
    109,752.55/164,515.80 = 43,165.69/x
  3. Step 3: Cross multiply
    109,752.55x = 164,515.80 × 43,165.69
  4. Step 4: Simplify right side
    109,752.55x = 7,101,438,022.90
  5. Step 5: Solve for x
    x = 7,101,438,022.90/109,752.55
  6. Step 6: Final answer
    x = 64,704.08

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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.