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Finding the Fourth Proportional to 178,302.52, 246,046.80 and 97,714

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Solution

The fourth proportional to 178,302.52, 246,046.80 and 97,714 is: 134,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,302.52 : 246,046.80 = 97,714 : x
  2. Step 2: Convert to fraction form
    178,302.52/246,046.80 = 97,714/x
  3. Step 3: Cross multiply
    178,302.52x = 246,046.80 × 97,714
  4. Step 4: Simplify right side
    178,302.52x = 24,042,217,015.20
  5. Step 5: Solve for x
    x = 24,042,217,015.20/178,302.52
  6. Step 6: Final answer
    x = 134,839.47

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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.