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Finding the Fourth Proportional to 232,751.68, 349,280.61 and 127,644.46

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Solution

The fourth proportional to 232,751.68, 349,280.61 and 127,644.46 is: 191,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,751.68 : 349,280.61 = 127,644.46 : x
  2. Step 2: Convert to fraction form
    232,751.68/349,280.61 = 127,644.46/x
  3. Step 3: Cross multiply
    232,751.68x = 349,280.61 × 127,644.46
  4. Step 4: Simplify right side
    232,751.68x = 44,583,734,851.92
  5. Step 5: Solve for x
    x = 44,583,734,851.92/232,751.68
  6. Step 6: Final answer
    x = 191,550.65

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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.