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Finding the Fourth Proportional to 240,914.92, 361,420.86 and 83,149.48

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Solution

The fourth proportional to 240,914.92, 361,420.86 and 83,149.48 is: 124,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,914.92 : 361,420.86 = 83,149.48 : x
  2. Step 2: Convert to fraction form
    240,914.92/361,420.86 = 83,149.48/x
  3. Step 3: Cross multiply
    240,914.92x = 361,420.86 × 83,149.48
  4. Step 4: Simplify right side
    240,914.92x = 30,051,956,570.15
  5. Step 5: Solve for x
    x = 30,051,956,570.15/240,914.92
  6. Step 6: Final answer
    x = 124,740.95

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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.