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Finding the Fourth Proportional to 162,446.23, 224,182.92 and 90,826.30

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Solution

The fourth proportional to 162,446.23, 224,182.92 and 90,826.30 is: 125,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,446.23 : 224,182.92 = 90,826.30 : x
  2. Step 2: Convert to fraction form
    162,446.23/224,182.92 = 90,826.30/x
  3. Step 3: Cross multiply
    162,446.23x = 224,182.92 × 90,826.30
  4. Step 4: Simplify right side
    162,446.23x = 20,361,705,146.80
  5. Step 5: Solve for x
    x = 20,361,705,146.80/162,446.23
  6. Step 6: Final answer
    x = 125,344.28

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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.