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Finding the Fourth Proportional to 232,576.80, 320,997.78 and 137,077.80

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Solution

The fourth proportional to 232,576.80, 320,997.78 and 137,077.80 is: 189,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,576.80 : 320,997.78 = 137,077.80 : x
  2. Step 2: Convert to fraction form
    232,576.80/320,997.78 = 137,077.80/x
  3. Step 3: Cross multiply
    232,576.80x = 320,997.78 × 137,077.80
  4. Step 4: Simplify right side
    232,576.80x = 44,001,669,487.28
  5. Step 5: Solve for x
    x = 44,001,669,487.28/232,576.80
  6. Step 6: Final answer
    x = 189,192.00

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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.