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Finding the Fourth Proportional to 121,411.80, 182,123.10 and 41,448.60

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Solution

The fourth proportional to 121,411.80, 182,123.10 and 41,448.60 is: 62,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.80 : 182,123.10 = 41,448.60 : x
  2. Step 2: Convert to fraction form
    121,411.80/182,123.10 = 41,448.60/x
  3. Step 3: Cross multiply
    121,411.80x = 182,123.10 × 41,448.60
  4. Step 4: Simplify right side
    121,411.80x = 7,548,747,522.66
  5. Step 5: Solve for x
    x = 7,548,747,522.66/121,411.80
  6. Step 6: Final answer
    x = 62,174.74

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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.