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Finding the Fourth Proportional to 213,883.80, 295,190.76 and 123,222.12

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Solution

The fourth proportional to 213,883.80, 295,190.76 and 123,222.12 is: 170,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,883.80 : 295,190.76 = 123,222.12 : x
  2. Step 2: Convert to fraction form
    213,883.80/295,190.76 = 123,222.12/x
  3. Step 3: Cross multiply
    213,883.80x = 295,190.76 × 123,222.12
  4. Step 4: Simplify right side
    213,883.80x = 36,374,031,251.61
  5. Step 5: Solve for x
    x = 36,374,031,251.61/213,883.80
  6. Step 6: Final answer
    x = 170,064.45

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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.