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Finding the Fourth Proportional to 95,257, 142,874.52 and 25,141.78

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Solution

The fourth proportional to 95,257, 142,874.52 and 25,141.78 is: 37,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257 : 142,874.52 = 25,141.78 : x
  2. Step 2: Convert to fraction form
    95,257/142,874.52 = 25,141.78/x
  3. Step 3: Cross multiply
    95,257x = 142,874.52 × 25,141.78
  4. Step 4: Simplify right side
    95,257x = 3,592,119,749.45
  5. Step 5: Solve for x
    x = 3,592,119,749.45/95,257
  6. Step 6: Final answer
    x = 37,709.77

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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.