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Finding the Fourth Proportional to 222,295.50, 306,767.81 and 121,693.50

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Solution

The fourth proportional to 222,295.50, 306,767.81 and 121,693.50 is: 167,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,295.50 : 306,767.81 = 121,693.50 : x
  2. Step 2: Convert to fraction form
    222,295.50/306,767.81 = 121,693.50/x
  3. Step 3: Cross multiply
    222,295.50x = 306,767.81 × 121,693.50
  4. Step 4: Simplify right side
    222,295.50x = 37,331,647,877.77
  5. Step 5: Solve for x
    x = 37,331,647,877.77/222,295.50
  6. Step 6: Final answer
    x = 167,937.04

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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.