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Finding the Fourth Proportional to 177,859.80, 266,141.70 and 111,331.80

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Solution

The fourth proportional to 177,859.80, 266,141.70 and 111,331.80 is: 166,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,859.80 : 266,141.70 = 111,331.80 : x
  2. Step 2: Convert to fraction form
    177,859.80/266,141.70 = 111,331.80/x
  3. Step 3: Cross multiply
    177,859.80x = 266,141.70 × 111,331.80
  4. Step 4: Simplify right side
    177,859.80x = 29,630,034,516.06
  5. Step 5: Solve for x
    x = 29,630,034,516.06/177,859.80
  6. Step 6: Final answer
    x = 166,592.08

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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.