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Finding the Fourth Proportional to 222,162.90, 306,391.02 and 157,504.38

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Solution

The fourth proportional to 222,162.90, 306,391.02 and 157,504.38 is: 217,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,162.90 : 306,391.02 = 157,504.38 : x
  2. Step 2: Convert to fraction form
    222,162.90/306,391.02 = 157,504.38/x
  3. Step 3: Cross multiply
    222,162.90x = 306,391.02 × 157,504.38
  4. Step 4: Simplify right side
    222,162.90x = 48,257,927,642.67
  5. Step 5: Solve for x
    x = 48,257,927,642.67/222,162.90
  6. Step 6: Final answer
    x = 217,218.66

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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.