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Finding the Fourth Proportional to 177,984.80, 266,977.20 and 72,768.80

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Solution

The fourth proportional to 177,984.80, 266,977.20 and 72,768.80 is: 109,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,984.80 : 266,977.20 = 72,768.80 : x
  2. Step 2: Convert to fraction form
    177,984.80/266,977.20 = 72,768.80/x
  3. Step 3: Cross multiply
    177,984.80x = 266,977.20 × 72,768.80
  4. Step 4: Simplify right side
    177,984.80x = 19,427,610,471.36
  5. Step 5: Solve for x
    x = 19,427,610,471.36/177,984.80
  6. Step 6: Final answer
    x = 109,153.20

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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.