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Finding the Fourth Proportional to 132,663.96, 198,995.49 and 53,777.97

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Solution

The fourth proportional to 132,663.96, 198,995.49 and 53,777.97 is: 80,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,663.96 : 198,995.49 = 53,777.97 : x
  2. Step 2: Convert to fraction form
    132,663.96/198,995.49 = 53,777.97/x
  3. Step 3: Cross multiply
    132,663.96x = 198,995.49 × 53,777.97
  4. Step 4: Simplify right side
    132,663.96x = 10,701,573,491.36
  5. Step 5: Solve for x
    x = 10,701,573,491.36/132,663.96
  6. Step 6: Final answer
    x = 80,666.77

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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.