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Finding the Fourth Proportional to 230,822, 318,534.44 and 124,838

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Solution

The fourth proportional to 230,822, 318,534.44 and 124,838 is: 172,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822 : 318,534.44 = 124,838 : x
  2. Step 2: Convert to fraction form
    230,822/318,534.44 = 124,838/x
  3. Step 3: Cross multiply
    230,822x = 318,534.44 × 124,838
  4. Step 4: Simplify right side
    230,822x = 39,765,202,420.72
  5. Step 5: Solve for x
    x = 39,765,202,420.72/230,822
  6. Step 6: Final answer
    x = 172,276.48

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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.