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Finding the Fourth Proportional to 121,403.10, 182,104.65 and 65,415.90

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Solution

The fourth proportional to 121,403.10, 182,104.65 and 65,415.90 is: 98,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,403.10 : 182,104.65 = 65,415.90 : x
  2. Step 2: Convert to fraction form
    121,403.10/182,104.65 = 65,415.90/x
  3. Step 3: Cross multiply
    121,403.10x = 182,104.65 × 65,415.90
  4. Step 4: Simplify right side
    121,403.10x = 11,912,539,573.94
  5. Step 5: Solve for x
    x = 11,912,539,573.94/121,403.10
  6. Step 6: Final answer
    x = 98,123.85

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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.