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Finding the Fourth Proportional to 230,446, 318,015.66 and 124,462

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Solution

The fourth proportional to 230,446, 318,015.66 and 124,462 is: 171,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,446 : 318,015.66 = 124,462 : x
  2. Step 2: Convert to fraction form
    230,446/318,015.66 = 124,462/x
  3. Step 3: Cross multiply
    230,446x = 318,015.66 × 124,462
  4. Step 4: Simplify right side
    230,446x = 39,580,865,074.92
  5. Step 5: Solve for x
    x = 39,580,865,074.92/230,446
  6. Step 6: Final answer
    x = 171,757.66

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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.