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Finding the Fourth Proportional to 230,400.61, 345,549.06 and 82,656.61

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Solution

The fourth proportional to 230,400.61, 345,549.06 and 82,656.61 is: 123,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400.61 : 345,549.06 = 82,656.61 : x
  2. Step 2: Convert to fraction form
    230,400.61/345,549.06 = 82,656.61/x
  3. Step 3: Cross multiply
    230,400.61x = 345,549.06 × 82,656.61
  4. Step 4: Simplify right side
    230,400.61x = 28,561,913,024.41
  5. Step 5: Solve for x
    x = 28,561,913,024.41/230,400.61
  6. Step 6: Final answer
    x = 123,966.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.