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Finding the Fourth Proportional to 125,223.48, 187,866 and 36,477.78

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Solution

The fourth proportional to 125,223.48, 187,866 and 36,477.78 is: 54,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,223.48 : 187,866 = 36,477.78 : x
  2. Step 2: Convert to fraction form
    125,223.48/187,866 = 36,477.78/x
  3. Step 3: Cross multiply
    125,223.48x = 187,866 × 36,477.78
  4. Step 4: Simplify right side
    125,223.48x = 6,852,934,617.48
  5. Step 5: Solve for x
    x = 6,852,934,617.48/125,223.48
  6. Step 6: Final answer
    x = 54,725.64

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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.