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Finding the Fourth Proportional to 212,243.28, 292,797.72 and 127,212.72

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Solution

The fourth proportional to 212,243.28, 292,797.72 and 127,212.72 is: 175,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,243.28 : 292,797.72 = 127,212.72 : x
  2. Step 2: Convert to fraction form
    212,243.28/292,797.72 = 127,212.72/x
  3. Step 3: Cross multiply
    212,243.28x = 292,797.72 × 127,212.72
  4. Step 4: Simplify right side
    212,243.28x = 37,247,594,371.00
  5. Step 5: Solve for x
    x = 37,247,594,371.00/212,243.28
  6. Step 6: Final answer
    x = 175,494.81

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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.