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Finding the Fourth Proportional to 227,667.20, 314,203.05 and 132,168.20

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Solution

The fourth proportional to 227,667.20, 314,203.05 and 132,168.20 is: 182,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,667.20 : 314,203.05 = 132,168.20 : x
  2. Step 2: Convert to fraction form
    227,667.20/314,203.05 = 132,168.20/x
  3. Step 3: Cross multiply
    227,667.20x = 314,203.05 × 132,168.20
  4. Step 4: Simplify right side
    227,667.20x = 41,527,649,981.99
  5. Step 5: Solve for x
    x = 41,527,649,981.99/227,667.20
  6. Step 6: Final answer
    x = 182,405.07

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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.