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Finding the Fourth Proportional to 162,446.22, 224,237.43 and 145,419.80

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Solution

The fourth proportional to 162,446.22, 224,237.43 and 145,419.80 is: 200,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,446.22 : 224,237.43 = 145,419.80 : x
  2. Step 2: Convert to fraction form
    162,446.22/224,237.43 = 145,419.80/x
  3. Step 3: Cross multiply
    162,446.22x = 224,237.43 × 145,419.80
  4. Step 4: Simplify right side
    162,446.22x = 32,608,561,101.93
  5. Step 5: Solve for x
    x = 32,608,561,101.93/162,446.22
  6. Step 6: Final answer
    x = 200,734.50

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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.