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Finding the Fourth Proportional to 230,447, 318,016.86 and 124,463

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Solution

The fourth proportional to 230,447, 318,016.86 and 124,463 is: 171,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,447 : 318,016.86 = 124,463 : x
  2. Step 2: Convert to fraction form
    230,447/318,016.86 = 124,463/x
  3. Step 3: Cross multiply
    230,447x = 318,016.86 × 124,463
  4. Step 4: Simplify right side
    230,447x = 39,581,332,446.18
  5. Step 5: Solve for x
    x = 39,581,332,446.18/230,447
  6. Step 6: Final answer
    x = 171,758.94

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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.