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Finding the Fourth Proportional to 227,399.94, 341,135.00 and 77,605.17

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Solution

The fourth proportional to 227,399.94, 341,135.00 and 77,605.17 is: 116,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,399.94 : 341,135.00 = 77,605.17 : x
  2. Step 2: Convert to fraction form
    227,399.94/341,135.00 = 77,605.17/x
  3. Step 3: Cross multiply
    227,399.94x = 341,135.00 × 77,605.17
  4. Step 4: Simplify right side
    227,399.94x = 26,473,839,279.92
  5. Step 5: Solve for x
    x = 26,473,839,279.92/227,399.94
  6. Step 6: Final answer
    x = 116,419.73

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Why These Related Problems?

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