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Finding the Fourth Proportional to 182,663.72, 251,912.13 and 152,138.15

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Solution

The fourth proportional to 182,663.72, 251,912.13 and 152,138.15 is: 209,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,663.72 : 251,912.13 = 152,138.15 : x
  2. Step 2: Convert to fraction form
    182,663.72/251,912.13 = 152,138.15/x
  3. Step 3: Cross multiply
    182,663.72x = 251,912.13 × 152,138.15
  4. Step 4: Simplify right side
    182,663.72x = 38,325,444,161.20
  5. Step 5: Solve for x
    x = 38,325,444,161.20/182,663.72
  6. Step 6: Final answer
    x = 209,814.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.