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Finding the Fourth Proportional to 177,676.70, 266,502.90 and 57,731.90

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Solution

The fourth proportional to 177,676.70, 266,502.90 and 57,731.90 is: 86,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,676.70 : 266,502.90 = 57,731.90 : x
  2. Step 2: Convert to fraction form
    177,676.70/266,502.90 = 57,731.90/x
  3. Step 3: Cross multiply
    177,676.70x = 266,502.90 × 57,731.90
  4. Step 4: Simplify right side
    177,676.70x = 15,385,718,772.51
  5. Step 5: Solve for x
    x = 15,385,718,772.51/177,676.70
  6. Step 6: Final answer
    x = 86,593.90

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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.