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Finding the Fourth Proportional to 230,177, 345,240.86 and 61,714.22

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Solution

The fourth proportional to 230,177, 345,240.86 and 61,714.22 is: 92,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,177 : 345,240.86 = 61,714.22 : x
  2. Step 2: Convert to fraction form
    230,177/345,240.86 = 61,714.22/x
  3. Step 3: Cross multiply
    230,177x = 345,240.86 × 61,714.22
  4. Step 4: Simplify right side
    230,177x = 21,306,270,387.03
  5. Step 5: Solve for x
    x = 21,306,270,387.03/230,177
  6. Step 6: Final answer
    x = 92,564.72

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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.