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Finding the Fourth Proportional to 181,064.54, 271,596.80 and 96,568.72

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Solution

The fourth proportional to 181,064.54, 271,596.80 and 96,568.72 is: 144,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,064.54 : 271,596.80 = 96,568.72 : x
  2. Step 2: Convert to fraction form
    181,064.54/271,596.80 = 96,568.72/x
  3. Step 3: Cross multiply
    181,064.54x = 271,596.80 × 96,568.72
  4. Step 4: Simplify right side
    181,064.54x = 26,227,754,170.26
  5. Step 5: Solve for x
    x = 26,227,754,170.26/181,064.54
  6. Step 6: Final answer
    x = 144,853.07

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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.