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Finding the Fourth Proportional to 226,427.52, 312,471.40 and 141,594.24

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Solution

The fourth proportional to 226,427.52, 312,471.40 and 141,594.24 is: 195,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,427.52 : 312,471.40 = 141,594.24 : x
  2. Step 2: Convert to fraction form
    226,427.52/312,471.40 = 141,594.24/x
  3. Step 3: Cross multiply
    226,427.52x = 312,471.40 × 141,594.24
  4. Step 4: Simplify right side
    226,427.52x = 44,244,150,404.74
  5. Step 5: Solve for x
    x = 44,244,150,404.74/226,427.52
  6. Step 6: Final answer
    x = 195,400.94

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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.