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Finding the Fourth Proportional to 251,735.91, 377,513.90 and 83,225.13

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Solution

The fourth proportional to 251,735.91, 377,513.90 and 83,225.13 is: 124,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,735.91 : 377,513.90 = 83,225.13 : x
  2. Step 2: Convert to fraction form
    251,735.91/377,513.90 = 83,225.13/x
  3. Step 3: Cross multiply
    251,735.91x = 377,513.90 × 83,225.13
  4. Step 4: Simplify right side
    251,735.91x = 31,418,641,100.61
  5. Step 5: Solve for x
    x = 31,418,641,100.61/251,735.91
  6. Step 6: Final answer
    x = 124,807.95

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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.