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Finding the Fourth Proportional to 223,451.20, 308,311.14 and 138,527.56

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Solution

The fourth proportional to 223,451.20, 308,311.14 and 138,527.56 is: 191,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,451.20 : 308,311.14 = 138,527.56 : x
  2. Step 2: Convert to fraction form
    223,451.20/308,311.14 = 138,527.56/x
  3. Step 3: Cross multiply
    223,451.20x = 308,311.14 × 138,527.56
  4. Step 4: Simplify right side
    223,451.20x = 42,709,589,945.02
  5. Step 5: Solve for x
    x = 42,709,589,945.02/223,451.20
  6. Step 6: Final answer
    x = 191,136.10

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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.