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Finding the Fourth Proportional to 178,552.25, 246,401.41 and 97,981.14

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Solution

The fourth proportional to 178,552.25, 246,401.41 and 97,981.14 is: 135,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,552.25 : 246,401.41 = 97,981.14 : x
  2. Step 2: Convert to fraction form
    178,552.25/246,401.41 = 97,981.14/x
  3. Step 3: Cross multiply
    178,552.25x = 246,401.41 × 97,981.14
  4. Step 4: Simplify right side
    178,552.25x = 24,142,690,559.50
  5. Step 5: Solve for x
    x = 24,142,690,559.50/178,552.25
  6. Step 6: Final answer
    x = 135,213.59

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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.