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Finding the Fourth Proportional to 222,034, 306,407.16 and 121,432.24

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Solution

The fourth proportional to 222,034, 306,407.16 and 121,432.24 is: 167,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,034 : 306,407.16 = 121,432.24 : x
  2. Step 2: Convert to fraction form
    222,034/306,407.16 = 121,432.24/x
  3. Step 3: Cross multiply
    222,034x = 306,407.16 × 121,432.24
  4. Step 4: Simplify right side
    222,034x = 37,207,707,790.84
  5. Step 5: Solve for x
    x = 37,207,707,790.84/222,034
  6. Step 6: Final answer
    x = 167,576.62

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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.