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Finding the Fourth Proportional to 309,304.20, 463,842.50 and 106,848.78

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Solution

The fourth proportional to 309,304.20, 463,842.50 and 106,848.78 is: 160,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,304.20 : 463,842.50 = 106,848.78 : x
  2. Step 2: Convert to fraction form
    309,304.20/463,842.50 = 106,848.78/x
  3. Step 3: Cross multiply
    309,304.20x = 463,842.50 × 106,848.78
  4. Step 4: Simplify right side
    309,304.20x = 49,561,004,702.91
  5. Step 5: Solve for x
    x = 49,561,004,702.91/309,304.20
  6. Step 6: Final answer
    x = 160,233.86

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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.