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Finding the Fourth Proportional to 178,228.25, 266,938.45 and 125,157.96

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Solution

The fourth proportional to 178,228.25, 266,938.45 and 125,157.96 is: 187,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,228.25 : 266,938.45 = 125,157.96 : x
  2. Step 2: Convert to fraction form
    178,228.25/266,938.45 = 125,157.96/x
  3. Step 3: Cross multiply
    178,228.25x = 266,938.45 × 125,157.96
  4. Step 4: Simplify right side
    178,228.25x = 33,409,472,238.68
  5. Step 5: Solve for x
    x = 33,409,472,238.68/178,228.25
  6. Step 6: Final answer
    x = 187,453.29

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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.