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Finding the Fourth Proportional to 177,234, 265,853.16 and 45,906

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Solution

The fourth proportional to 177,234, 265,853.16 and 45,906 is: 68,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,234 : 265,853.16 = 45,906 : x
  2. Step 2: Convert to fraction form
    177,234/265,853.16 = 45,906/x
  3. Step 3: Cross multiply
    177,234x = 265,853.16 × 45,906
  4. Step 4: Simplify right side
    177,234x = 12,204,255,162.96
  5. Step 5: Solve for x
    x = 12,204,255,162.96/177,234
  6. Step 6: Final answer
    x = 68,859.56

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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.