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Finding the Fourth Proportional to 212,222.75, 292,909 and 121,639.43

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Solution

The fourth proportional to 212,222.75, 292,909 and 121,639.43 is: 167,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,222.75 : 292,909 = 121,639.43 : x
  2. Step 2: Convert to fraction form
    212,222.75/292,909 = 121,639.43/x
  3. Step 3: Cross multiply
    212,222.75x = 292,909 × 121,639.43
  4. Step 4: Simplify right side
    212,222.75x = 35,629,283,801.87
  5. Step 5: Solve for x
    x = 35,629,283,801.87/212,222.75
  6. Step 6: Final answer
    x = 167,886.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.