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Finding the Fourth Proportional to 177,656.70, 266,472.90 and 57,711.90

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Solution

The fourth proportional to 177,656.70, 266,472.90 and 57,711.90 is: 86,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,656.70 : 266,472.90 = 57,711.90 : x
  2. Step 2: Convert to fraction form
    177,656.70/266,472.90 = 57,711.90/x
  3. Step 3: Cross multiply
    177,656.70x = 266,472.90 × 57,711.90
  4. Step 4: Simplify right side
    177,656.70x = 15,378,657,357.51
  5. Step 5: Solve for x
    x = 15,378,657,357.51/177,656.70
  6. Step 6: Final answer
    x = 86,563.90

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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.