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Finding the Fourth Proportional to 177,767.80, 266,133.30 and 159,105.40

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Solution

The fourth proportional to 177,767.80, 266,133.30 and 159,105.40 is: 238,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,767.80 : 266,133.30 = 159,105.40 : x
  2. Step 2: Convert to fraction form
    177,767.80/266,133.30 = 159,105.40/x
  3. Step 3: Cross multiply
    177,767.80x = 266,133.30 × 159,105.40
  4. Step 4: Simplify right side
    177,767.80x = 42,343,245,149.82
  5. Step 5: Solve for x
    x = 42,343,245,149.82/177,767.80
  6. Step 6: Final answer
    x = 238,194.12

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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.