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Finding the Fourth Proportional to 124,002, 186,003 and 40,902.48

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Solution

The fourth proportional to 124,002, 186,003 and 40,902.48 is: 61,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,002 : 186,003 = 40,902.48 : x
  2. Step 2: Convert to fraction form
    124,002/186,003 = 40,902.48/x
  3. Step 3: Cross multiply
    124,002x = 186,003 × 40,902.48
  4. Step 4: Simplify right side
    124,002x = 7,607,983,987.44
  5. Step 5: Solve for x
    x = 7,607,983,987.44/124,002
  6. Step 6: Final answer
    x = 61,353.72

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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.