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Finding the Fourth Proportional to 176,711.28, 265,151.94 and 87,972.54

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Solution

The fourth proportional to 176,711.28, 265,151.94 and 87,972.54 is: 132,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,711.28 : 265,151.94 = 87,972.54 : x
  2. Step 2: Convert to fraction form
    176,711.28/265,151.94 = 87,972.54/x
  3. Step 3: Cross multiply
    176,711.28x = 265,151.94 × 87,972.54
  4. Step 4: Simplify right side
    176,711.28x = 23,326,089,647.73
  5. Step 5: Solve for x
    x = 23,326,089,647.73/176,711.28
  6. Step 6: Final answer
    x = 132,001.14

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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.