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Finding the Fourth Proportional to 178,217.10, 245,945.72 and 97,644.38

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Solution

The fourth proportional to 178,217.10, 245,945.72 and 97,644.38 is: 134,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,217.10 : 245,945.72 = 97,644.38 : x
  2. Step 2: Convert to fraction form
    178,217.10/245,945.72 = 97,644.38/x
  3. Step 3: Cross multiply
    178,217.10x = 245,945.72 × 97,644.38
  4. Step 4: Simplify right side
    178,217.10x = 24,015,215,625.10
  5. Step 5: Solve for x
    x = 24,015,215,625.10/178,217.10
  6. Step 6: Final answer
    x = 134,752.59

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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.