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Finding the Fourth Proportional to 254,632.85, 381,947.79 and 65,092.96

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Solution

The fourth proportional to 254,632.85, 381,947.79 and 65,092.96 is: 97,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,632.85 : 381,947.79 = 65,092.96 : x
  2. Step 2: Convert to fraction form
    254,632.85/381,947.79 = 65,092.96/x
  3. Step 3: Cross multiply
    254,632.85x = 381,947.79 × 65,092.96
  4. Step 4: Simplify right side
    254,632.85x = 24,862,110,423.49
  5. Step 5: Solve for x
    x = 24,862,110,423.49/254,632.85
  6. Step 6: Final answer
    x = 97,639.05

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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.