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Finding the Fourth Proportional to 232,936.40, 349,663.80 and 127,960.40

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Solution

The fourth proportional to 232,936.40, 349,663.80 and 127,960.40 is: 192,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,936.40 : 349,663.80 = 127,960.40 : x
  2. Step 2: Convert to fraction form
    232,936.40/349,663.80 = 127,960.40/x
  3. Step 3: Cross multiply
    232,936.40x = 349,663.80 × 127,960.40
  4. Step 4: Simplify right side
    232,936.40x = 44,743,119,713.52
  5. Step 5: Solve for x
    x = 44,743,119,713.52/232,936.40
  6. Step 6: Final answer
    x = 192,082.99

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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.