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Finding the Fourth Proportional to 177,648.40, 266,731.80 and 72,672.40

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Solution

The fourth proportional to 177,648.40, 266,731.80 and 72,672.40 is: 109,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,648.40 : 266,731.80 = 72,672.40 : x
  2. Step 2: Convert to fraction form
    177,648.40/266,731.80 = 72,672.40/x
  3. Step 3: Cross multiply
    177,648.40x = 266,731.80 × 72,672.40
  4. Step 4: Simplify right side
    177,648.40x = 19,384,040,062.32
  5. Step 5: Solve for x
    x = 19,384,040,062.32/177,648.40
  6. Step 6: Final answer
    x = 109,114.63

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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.