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Finding the Fourth Proportional to 226,332.48, 339,490.08 and 76,584

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Solution

The fourth proportional to 226,332.48, 339,490.08 and 76,584 is: 114,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,332.48 : 339,490.08 = 76,584 : x
  2. Step 2: Convert to fraction form
    226,332.48/339,490.08 = 76,584/x
  3. Step 3: Cross multiply
    226,332.48x = 339,490.08 × 76,584
  4. Step 4: Simplify right side
    226,332.48x = 25,999,508,286.72
  5. Step 5: Solve for x
    x = 25,999,508,286.72/226,332.48
  6. Step 6: Final answer
    x = 114,873.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.