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Finding the Fourth Proportional to 224,974.75, 310,471.64 and 124,379.23

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Solution

The fourth proportional to 224,974.75, 310,471.64 and 124,379.23 is: 171,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,974.75 : 310,471.64 = 124,379.23 : x
  2. Step 2: Convert to fraction form
    224,974.75/310,471.64 = 124,379.23/x
  3. Step 3: Cross multiply
    224,974.75x = 310,471.64 × 124,379.23
  4. Step 4: Simplify right side
    224,974.75x = 38,616,223,520.04
  5. Step 5: Solve for x
    x = 38,616,223,520.04/224,974.75
  6. Step 6: Final answer
    x = 171,646.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.