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Finding the Fourth Proportional to 222,042.16, 306,420.60 and 121,438

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Solution

The fourth proportional to 222,042.16, 306,420.60 and 121,438 is: 167,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,042.16 : 306,420.60 = 121,438 : x
  2. Step 2: Convert to fraction form
    222,042.16/306,420.60 = 121,438/x
  3. Step 3: Cross multiply
    222,042.16x = 306,420.60 × 121,438
  4. Step 4: Simplify right side
    222,042.16x = 37,211,104,822.80
  5. Step 5: Solve for x
    x = 37,211,104,822.80/222,042.16
  6. Step 6: Final answer
    x = 167,585.76

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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.