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Finding the Fourth Proportional to 121,595.50, 182,243.49 and 86,344.30

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Solution

The fourth proportional to 121,595.50, 182,243.49 and 86,344.30 is: 129,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,595.50 : 182,243.49 = 86,344.30 : x
  2. Step 2: Convert to fraction form
    121,595.50/182,243.49 = 86,344.30/x
  3. Step 3: Cross multiply
    121,595.50x = 182,243.49 × 86,344.30
  4. Step 4: Simplify right side
    121,595.50x = 15,735,686,573.61
  5. Step 5: Solve for x
    x = 15,735,686,573.61/121,595.50
  6. Step 6: Final answer
    x = 129,410.11

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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.