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Finding the Fourth Proportional to 162,209.50, 223,849.56 and 90,592.22

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Solution

The fourth proportional to 162,209.50, 223,849.56 and 90,592.22 is: 125,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,209.50 : 223,849.56 = 90,592.22 : x
  2. Step 2: Convert to fraction form
    162,209.50/223,849.56 = 90,592.22/x
  3. Step 3: Cross multiply
    162,209.50x = 223,849.56 × 90,592.22
  4. Step 4: Simplify right side
    162,209.50x = 20,279,028,586.42
  5. Step 5: Solve for x
    x = 20,279,028,586.42/162,209.50
  6. Step 6: Final answer
    x = 125,017.51

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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.