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Finding the Fourth Proportional to 212,850.66, 293,746.32 and 122,206.80

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Solution

The fourth proportional to 212,850.66, 293,746.32 and 122,206.80 is: 168,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850.66 : 293,746.32 = 122,206.80 : x
  2. Step 2: Convert to fraction form
    212,850.66/293,746.32 = 122,206.80/x
  3. Step 3: Cross multiply
    212,850.66x = 293,746.32 × 122,206.80
  4. Step 4: Simplify right side
    212,850.66x = 35,897,797,778.98
  5. Step 5: Solve for x
    x = 35,897,797,778.98/212,850.66
  6. Step 6: Final answer
    x = 168,652.51

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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.