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Finding the Fourth Proportional to 309,772.94, 464,708.03 and 132,280.88

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Solution

The fourth proportional to 309,772.94, 464,708.03 and 132,280.88 is: 198,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,772.94 : 464,708.03 = 132,280.88 : x
  2. Step 2: Convert to fraction form
    309,772.94/464,708.03 = 132,280.88/x
  3. Step 3: Cross multiply
    309,772.94x = 464,708.03 × 132,280.88
  4. Step 4: Simplify right side
    309,772.94x = 61,471,984,166.52
  5. Step 5: Solve for x
    x = 61,471,984,166.52/309,772.94
  6. Step 6: Final answer
    x = 198,442.08

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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.