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Finding the Fourth Proportional to 177,803.74, 266,913.78 and 140,389.03

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Solution

The fourth proportional to 177,803.74, 266,913.78 and 140,389.03 is: 210,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,803.74 : 266,913.78 = 140,389.03 : x
  2. Step 2: Convert to fraction form
    177,803.74/266,913.78 = 140,389.03/x
  3. Step 3: Cross multiply
    177,803.74x = 266,913.78 × 140,389.03
  4. Step 4: Simplify right side
    177,803.74x = 37,471,766,667.83
  5. Step 5: Solve for x
    x = 37,471,766,667.83/177,803.74
  6. Step 6: Final answer
    x = 210,747.91

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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.