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Finding the Fourth Proportional to 177,542.80, 266,184.60 and 72,307.60

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Solution

The fourth proportional to 177,542.80, 266,184.60 and 72,307.60 is: 108,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,542.80 : 266,184.60 = 72,307.60 : x
  2. Step 2: Convert to fraction form
    177,542.80/266,184.60 = 72,307.60/x
  3. Step 3: Cross multiply
    177,542.80x = 266,184.60 × 72,307.60
  4. Step 4: Simplify right side
    177,542.80x = 19,247,169,582.96
  5. Step 5: Solve for x
    x = 19,247,169,582.96/177,542.80
  6. Step 6: Final answer
    x = 108,408.62

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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.