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Finding the Fourth Proportional to 213,278.59, 319,671.83 and 80,073.89

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Solution

The fourth proportional to 213,278.59, 319,671.83 and 80,073.89 is: 120,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,278.59 : 319,671.83 = 80,073.89 : x
  2. Step 2: Convert to fraction form
    213,278.59/319,671.83 = 80,073.89/x
  3. Step 3: Cross multiply
    213,278.59x = 319,671.83 × 80,073.89
  4. Step 4: Simplify right side
    213,278.59x = 25,597,366,951.52
  5. Step 5: Solve for x
    x = 25,597,366,951.52/213,278.59
  6. Step 6: Final answer
    x = 120,018.46

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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.