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Finding the Fourth Proportional to 177,851.80, 266,129.70 and 111,323.80

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Solution

The fourth proportional to 177,851.80, 266,129.70 and 111,323.80 is: 166,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,851.80 : 266,129.70 = 111,323.80 : x
  2. Step 2: Convert to fraction form
    177,851.80/266,129.70 = 111,323.80/x
  3. Step 3: Cross multiply
    177,851.80x = 266,129.70 × 111,323.80
  4. Step 4: Simplify right side
    177,851.80x = 29,626,569,496.86
  5. Step 5: Solve for x
    x = 29,626,569,496.86/177,851.80
  6. Step 6: Final answer
    x = 166,580.09

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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.