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Finding the Fourth Proportional to 251,508.38, 377,300.08 and 83,046.50

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Solution

The fourth proportional to 251,508.38, 377,300.08 and 83,046.50 is: 124,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,508.38 : 377,300.08 = 83,046.50 : x
  2. Step 2: Convert to fraction form
    251,508.38/377,300.08 = 83,046.50/x
  3. Step 3: Cross multiply
    251,508.38x = 377,300.08 × 83,046.50
  4. Step 4: Simplify right side
    251,508.38x = 31,333,451,093.72
  5. Step 5: Solve for x
    x = 31,333,451,093.72/251,508.38
  6. Step 6: Final answer
    x = 124,582.14

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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.