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Finding the Fourth Proportional to 177,788.60, 266,682.90 and 133,724.60

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Solution

The fourth proportional to 177,788.60, 266,682.90 and 133,724.60 is: 200,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.60 : 266,682.90 = 133,724.60 : x
  2. Step 2: Convert to fraction form
    177,788.60/266,682.90 = 133,724.60/x
  3. Step 3: Cross multiply
    177,788.60x = 266,682.90 × 133,724.60
  4. Step 4: Simplify right side
    177,788.60x = 35,662,064,129.34
  5. Step 5: Solve for x
    x = 35,662,064,129.34/177,788.60
  6. Step 6: Final answer
    x = 200,586.90

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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.