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Finding the Fourth Proportional to 177,130.56, 265,747.60 and 57,184.70

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Solution

The fourth proportional to 177,130.56, 265,747.60 and 57,184.70 is: 85,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,130.56 : 265,747.60 = 57,184.70 : x
  2. Step 2: Convert to fraction form
    177,130.56/265,747.60 = 57,184.70/x
  3. Step 3: Cross multiply
    177,130.56x = 265,747.60 × 57,184.70
  4. Step 4: Simplify right side
    177,130.56x = 15,196,695,524.46
  5. Step 5: Solve for x
    x = 15,196,695,524.46/177,130.56
  6. Step 6: Final answer
    x = 85,793.75

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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.