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Finding the Fourth Proportional to 178,008.57, 245,652.19 and 97,441.24

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Solution

The fourth proportional to 178,008.57, 245,652.19 and 97,441.24 is: 134,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008.57 : 245,652.19 = 97,441.24 : x
  2. Step 2: Convert to fraction form
    178,008.57/245,652.19 = 97,441.24/x
  3. Step 3: Cross multiply
    178,008.57x = 245,652.19 × 97,441.24
  4. Step 4: Simplify right side
    178,008.57x = 23,936,654,002.32
  5. Step 5: Solve for x
    x = 23,936,654,002.32/178,008.57
  6. Step 6: Final answer
    x = 134,469.11

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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.