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Finding the Fourth Proportional to 177,154.52, 265,766.00 and 57,243.74

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Solution

The fourth proportional to 177,154.52, 265,766.00 and 57,243.74 is: 85,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,154.52 : 265,766.00 = 57,243.74 : x
  2. Step 2: Convert to fraction form
    177,154.52/265,766.00 = 57,243.74/x
  3. Step 3: Cross multiply
    177,154.52x = 265,766.00 × 57,243.74
  4. Step 4: Simplify right side
    177,154.52x = 15,213,438,189.79
  5. Step 5: Solve for x
    x = 15,213,438,189.79/177,154.52
  6. Step 6: Final answer
    x = 85,876.66

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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.