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Finding the Fourth Proportional to 162,825.45, 224,808.78 and 101,664.78

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Solution

The fourth proportional to 162,825.45, 224,808.78 and 101,664.78 is: 140,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,825.45 : 224,808.78 = 101,664.78 : x
  2. Step 2: Convert to fraction form
    162,825.45/224,808.78 = 101,664.78/x
  3. Step 3: Cross multiply
    162,825.45x = 224,808.78 × 101,664.78
  4. Step 4: Simplify right side
    162,825.45x = 22,855,135,160.77
  5. Step 5: Solve for x
    x = 22,855,135,160.77/162,825.45
  6. Step 6: Final answer
    x = 140,365.87

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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.