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Finding the Fourth Proportional to 178,093, 245,768.34 and 98,605

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Solution

The fourth proportional to 178,093, 245,768.34 and 98,605 is: 136,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,093 : 245,768.34 = 98,605 : x
  2. Step 2: Convert to fraction form
    178,093/245,768.34 = 98,605/x
  3. Step 3: Cross multiply
    178,093x = 245,768.34 × 98,605
  4. Step 4: Simplify right side
    178,093x = 24,233,987,165.70
  5. Step 5: Solve for x
    x = 24,233,987,165.70/178,093
  6. Step 6: Final answer
    x = 136,074.90

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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.