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Finding the Fourth Proportional to 226,414.82, 312,322.34 and 141,384.26

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Solution

The fourth proportional to 226,414.82, 312,322.34 and 141,384.26 is: 195,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,414.82 : 312,322.34 = 141,384.26 : x
  2. Step 2: Convert to fraction form
    226,414.82/312,322.34 = 141,384.26/x
  3. Step 3: Cross multiply
    226,414.82x = 312,322.34 × 141,384.26
  4. Step 4: Simplify right side
    226,414.82x = 44,157,460,653.84
  5. Step 5: Solve for x
    x = 44,157,460,653.84/226,414.82
  6. Step 6: Final answer
    x = 195,029.03

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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.