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Finding the Fourth Proportional to 230,998, 318,777.24 and 125,014

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Solution

The fourth proportional to 230,998, 318,777.24 and 125,014 is: 172,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,998 : 318,777.24 = 125,014 : x
  2. Step 2: Convert to fraction form
    230,998/318,777.24 = 125,014/x
  3. Step 3: Cross multiply
    230,998x = 318,777.24 × 125,014
  4. Step 4: Simplify right side
    230,998x = 39,851,617,881.36
  5. Step 5: Solve for x
    x = 39,851,617,881.36/230,998
  6. Step 6: Final answer
    x = 172,519.32

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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.