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Finding the Fourth Proportional to 227,998.32, 341,980.20 and 80,150.64

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Solution

The fourth proportional to 227,998.32, 341,980.20 and 80,150.64 is: 120,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,998.32 : 341,980.20 = 80,150.64 : x
  2. Step 2: Convert to fraction form
    227,998.32/341,980.20 = 80,150.64/x
  3. Step 3: Cross multiply
    227,998.32x = 341,980.20 × 80,150.64
  4. Step 4: Simplify right side
    227,998.32x = 27,409,931,897.33
  5. Step 5: Solve for x
    x = 27,409,931,897.33/227,998.32
  6. Step 6: Final answer
    x = 120,219.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.