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Finding the Fourth Proportional to 162,998.14, 224,938.20 and 95,062.24

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Solution

The fourth proportional to 162,998.14, 224,938.20 and 95,062.24 is: 131,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,998.14 : 224,938.20 = 95,062.24 : x
  2. Step 2: Convert to fraction form
    162,998.14/224,938.20 = 95,062.24/x
  3. Step 3: Cross multiply
    162,998.14x = 224,938.20 × 95,062.24
  4. Step 4: Simplify right side
    162,998.14x = 21,383,129,153.57
  5. Step 5: Solve for x
    x = 21,383,129,153.57/162,998.14
  6. Step 6: Final answer
    x = 131,186.34

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1.5x scale

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.