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Finding the Fourth Proportional to 124,398, 186,626.16 and 41,292

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Solution

The fourth proportional to 124,398, 186,626.16 and 41,292 is: 61,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,398 : 186,626.16 = 41,292 : x
  2. Step 2: Convert to fraction form
    124,398/186,626.16 = 41,292/x
  3. Step 3: Cross multiply
    124,398x = 186,626.16 × 41,292
  4. Step 4: Simplify right side
    124,398x = 7,706,167,398.72
  5. Step 5: Solve for x
    x = 7,706,167,398.72/124,398
  6. Step 6: Final answer
    x = 61,947.68

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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.