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Finding the Fourth Proportional to 226,428.24, 312,446.16 and 130,920.48

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Solution

The fourth proportional to 226,428.24, 312,446.16 and 130,920.48 is: 180,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,428.24 : 312,446.16 = 130,920.48 : x
  2. Step 2: Convert to fraction form
    226,428.24/312,446.16 = 130,920.48/x
  3. Step 3: Cross multiply
    226,428.24x = 312,446.16 × 130,920.48
  4. Step 4: Simplify right side
    226,428.24x = 40,905,601,241.36
  5. Step 5: Solve for x
    x = 40,905,601,241.36/226,428.24
  6. Step 6: Final answer
    x = 180,655.92

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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.