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Finding the Fourth Proportional to 177,788.30, 266,034.45 and 111,260.30

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Solution

The fourth proportional to 177,788.30, 266,034.45 and 111,260.30 is: 166,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.30 : 266,034.45 = 111,260.30 : x
  2. Step 2: Convert to fraction form
    177,788.30/266,034.45 = 111,260.30/x
  3. Step 3: Cross multiply
    177,788.30x = 266,034.45 × 111,260.30
  4. Step 4: Simplify right side
    177,788.30x = 29,599,072,717.34
  5. Step 5: Solve for x
    x = 29,599,072,717.34/177,788.30
  6. Step 6: Final answer
    x = 166,484.93

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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.