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Finding the Fourth Proportional to 252,098, 378,146.99 and 172,972.34

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Solution

The fourth proportional to 252,098, 378,146.99 and 172,972.34 is: 259,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,098 : 378,146.99 = 172,972.34 : x
  2. Step 2: Convert to fraction form
    252,098/378,146.99 = 172,972.34/x
  3. Step 3: Cross multiply
    252,098x = 378,146.99 × 172,972.34
  4. Step 4: Simplify right side
    252,098x = 65,408,969,724.26
  5. Step 5: Solve for x
    x = 65,408,969,724.26/252,098
  6. Step 6: Final answer
    x = 259,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.