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Finding the Fourth Proportional to 138,354.87, 190,930.11 and 80,222.86

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Solution

The fourth proportional to 138,354.87, 190,930.11 and 80,222.86 is: 110,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,354.87 : 190,930.11 = 80,222.86 : x
  2. Step 2: Convert to fraction form
    138,354.87/190,930.11 = 80,222.86/x
  3. Step 3: Cross multiply
    138,354.87x = 190,930.11 × 80,222.86
  4. Step 4: Simplify right side
    138,354.87x = 15,316,959,484.31
  5. Step 5: Solve for x
    x = 15,316,959,484.31/138,354.87
  6. Step 6: Final answer
    x = 110,707.77

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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.