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Finding the Fourth Proportional to 110,304, 165,510.68 and 43,742.66

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Solution

The fourth proportional to 110,304, 165,510.68 and 43,742.66 is: 65,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,304 : 165,510.68 = 43,742.66 : x
  2. Step 2: Convert to fraction form
    110,304/165,510.68 = 43,742.66/x
  3. Step 3: Cross multiply
    110,304x = 165,510.68 × 43,742.66
  4. Step 4: Simplify right side
    110,304x = 7,239,876,355.34
  5. Step 5: Solve for x
    x = 7,239,876,355.34/110,304
  6. Step 6: Final answer
    x = 65,635.66

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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.