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Finding the Fourth Proportional to 162,994.14, 224,932.68 and 95,058.24

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Solution

The fourth proportional to 162,994.14, 224,932.68 and 95,058.24 is: 131,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,994.14 : 224,932.68 = 95,058.24 : x
  2. Step 2: Convert to fraction form
    162,994.14/224,932.68 = 95,058.24/x
  3. Step 3: Cross multiply
    162,994.14x = 224,932.68 × 95,058.24
  4. Step 4: Simplify right side
    162,994.14x = 21,381,704,679.28
  5. Step 5: Solve for x
    x = 21,381,704,679.28/162,994.14
  6. Step 6: Final answer
    x = 131,180.82

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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.