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Finding the Fourth Proportional to 230,448, 318,018.42 and 124,464

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Solution

The fourth proportional to 230,448, 318,018.42 and 124,464 is: 171,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448 : 318,018.42 = 124,464 : x
  2. Step 2: Convert to fraction form
    230,448/318,018.42 = 124,464/x
  3. Step 3: Cross multiply
    230,448x = 318,018.42 × 124,464
  4. Step 4: Simplify right side
    230,448x = 39,581,844,626.88
  5. Step 5: Solve for x
    x = 39,581,844,626.88/230,448
  6. Step 6: Final answer
    x = 171,760.42

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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.