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Finding the Fourth Proportional to 222,073.20, 306,458.52 and 121,470

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Solution

The fourth proportional to 222,073.20, 306,458.52 and 121,470 is: 167,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,073.20 : 306,458.52 = 121,470 : x
  2. Step 2: Convert to fraction form
    222,073.20/306,458.52 = 121,470/x
  3. Step 3: Cross multiply
    222,073.20x = 306,458.52 × 121,470
  4. Step 4: Simplify right side
    222,073.20x = 37,225,516,424.40
  5. Step 5: Solve for x
    x = 37,225,516,424.40/222,073.20
  6. Step 6: Final answer
    x = 167,627.23

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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.