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Finding the Fourth Proportional to 251,780.92, 377,730.06 and 83,294.44

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Solution

The fourth proportional to 251,780.92, 377,730.06 and 83,294.44 is: 124,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,780.92 : 377,730.06 = 83,294.44 : x
  2. Step 2: Convert to fraction form
    251,780.92/377,730.06 = 83,294.44/x
  3. Step 3: Cross multiply
    251,780.92x = 377,730.06 × 83,294.44
  4. Step 4: Simplify right side
    251,780.92x = 31,462,813,818.87
  5. Step 5: Solve for x
    x = 31,462,813,818.87/251,780.92
  6. Step 6: Final answer
    x = 124,961.07

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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.