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Finding the Fourth Proportional to 356,031.42, 533,979.15 and 106,713.42

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Solution

The fourth proportional to 356,031.42, 533,979.15 and 106,713.42 is: 160,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,031.42 : 533,979.15 = 106,713.42 : x
  2. Step 2: Convert to fraction form
    356,031.42/533,979.15 = 106,713.42/x
  3. Step 3: Cross multiply
    356,031.42x = 533,979.15 × 106,713.42
  4. Step 4: Simplify right side
    356,031.42x = 56,982,741,305.19
  5. Step 5: Solve for x
    x = 56,982,741,305.19/356,031.42
  6. Step 6: Final answer
    x = 160,049.75

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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.