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Finding the Fourth Proportional to 213,234.84, 319,853.46 and 88,575.96

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Solution

The fourth proportional to 213,234.84, 319,853.46 and 88,575.96 is: 132,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,234.84 : 319,853.46 = 88,575.96 : x
  2. Step 2: Convert to fraction form
    213,234.84/319,853.46 = 88,575.96/x
  3. Step 3: Cross multiply
    213,234.84x = 319,853.46 × 88,575.96
  4. Step 4: Simplify right side
    213,234.84x = 28,331,327,278.82
  5. Step 5: Solve for x
    x = 28,331,327,278.82/213,234.84
  6. Step 6: Final answer
    x = 132,864.44

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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.