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Finding the Fourth Proportional to 177,460.80, 266,191.20 and 52,801.80

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Solution

The fourth proportional to 177,460.80, 266,191.20 and 52,801.80 is: 79,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,460.80 : 266,191.20 = 52,801.80 : x
  2. Step 2: Convert to fraction form
    177,460.80/266,191.20 = 52,801.80/x
  3. Step 3: Cross multiply
    177,460.80x = 266,191.20 × 52,801.80
  4. Step 4: Simplify right side
    177,460.80x = 14,055,374,504.16
  5. Step 5: Solve for x
    x = 14,055,374,504.16/177,460.80
  6. Step 6: Final answer
    x = 79,202.70

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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.