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Finding the Fourth Proportional to 124,241, 186,390.66 and 41,135

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Solution

The fourth proportional to 124,241, 186,390.66 and 41,135 is: 61,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,241 : 186,390.66 = 41,135 : x
  2. Step 2: Convert to fraction form
    124,241/186,390.66 = 41,135/x
  3. Step 3: Cross multiply
    124,241x = 186,390.66 × 41,135
  4. Step 4: Simplify right side
    124,241x = 7,667,179,799.10
  5. Step 5: Solve for x
    x = 7,667,179,799.10/124,241
  6. Step 6: Final answer
    x = 61,712.15

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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.