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Finding the Fourth Proportional to 110,506.89, 165,713.10 and 42,073.56

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Solution

The fourth proportional to 110,506.89, 165,713.10 and 42,073.56 is: 63,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506.89 : 165,713.10 = 42,073.56 : x
  2. Step 2: Convert to fraction form
    110,506.89/165,713.10 = 42,073.56/x
  3. Step 3: Cross multiply
    110,506.89x = 165,713.10 × 42,073.56
  4. Step 4: Simplify right side
    110,506.89x = 6,972,140,055.64
  5. Step 5: Solve for x
    x = 6,972,140,055.64/110,506.89
  6. Step 6: Final answer
    x = 63,092.36

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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.