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Finding the Fourth Proportional to 127,969, 176,490.96 and 96,082.56

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Solution

The fourth proportional to 127,969, 176,490.96 and 96,082.56 is: 132,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,969 : 176,490.96 = 96,082.56 : x
  2. Step 2: Convert to fraction form
    127,969/176,490.96 = 96,082.56/x
  3. Step 3: Cross multiply
    127,969x = 176,490.96 × 96,082.56
  4. Step 4: Simplify right side
    127,969x = 16,957,703,253.66
  5. Step 5: Solve for x
    x = 16,957,703,253.66/127,969
  6. Step 6: Final answer
    x = 132,514.15

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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.