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Finding the Fourth Proportional to 254,140.74, 381,130.92 and 92,013.84

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Solution

The fourth proportional to 254,140.74, 381,130.92 and 92,013.84 is: 137,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,140.74 : 381,130.92 = 92,013.84 : x
  2. Step 2: Convert to fraction form
    254,140.74/381,130.92 = 92,013.84/x
  3. Step 3: Cross multiply
    254,140.74x = 381,130.92 × 92,013.84
  4. Step 4: Simplify right side
    254,140.74x = 35,069,319,491.93
  5. Step 5: Solve for x
    x = 35,069,319,491.93/254,140.74
  6. Step 6: Final answer
    x = 137,991.73

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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.