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Finding the Fourth Proportional to 222,052.16, 306,434.40 and 121,448

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Solution

The fourth proportional to 222,052.16, 306,434.40 and 121,448 is: 167,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,052.16 : 306,434.40 = 121,448 : x
  2. Step 2: Convert to fraction form
    222,052.16/306,434.40 = 121,448/x
  3. Step 3: Cross multiply
    222,052.16x = 306,434.40 × 121,448
  4. Step 4: Simplify right side
    222,052.16x = 37,215,845,011.20
  5. Step 5: Solve for x
    x = 37,215,845,011.20/222,052.16
  6. Step 6: Final answer
    x = 167,599.56

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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.