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Finding the Fourth Proportional to 162,992.14, 224,929.92 and 95,056.24

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Solution

The fourth proportional to 162,992.14, 224,929.92 and 95,056.24 is: 131,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,992.14 : 224,929.92 = 95,056.24 : x
  2. Step 2: Convert to fraction form
    162,992.14/224,929.92 = 95,056.24/x
  3. Step 3: Cross multiply
    162,992.14x = 224,929.92 × 95,056.24
  4. Step 4: Simplify right side
    162,992.14x = 21,380,992,458.70
  5. Step 5: Solve for x
    x = 21,380,992,458.70/162,992.14
  6. Step 6: Final answer
    x = 131,178.06

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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.