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Finding the Fourth Proportional to 177,174, 265,761.96 and 45,846

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Solution

The fourth proportional to 177,174, 265,761.96 and 45,846 is: 68,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,174 : 265,761.96 = 45,846 : x
  2. Step 2: Convert to fraction form
    177,174/265,761.96 = 45,846/x
  3. Step 3: Cross multiply
    177,174x = 265,761.96 × 45,846
  4. Step 4: Simplify right side
    177,174x = 12,184,122,818.16
  5. Step 5: Solve for x
    x = 12,184,122,818.16/177,174
  6. Step 6: Final answer
    x = 68,769.25

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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.