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Finding the Fourth Proportional to 146,081, 201,592.14 and 79,013

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Solution

The fourth proportional to 146,081, 201,592.14 and 79,013 is: 109,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,081 : 201,592.14 = 79,013 : x
  2. Step 2: Convert to fraction form
    146,081/201,592.14 = 79,013/x
  3. Step 3: Cross multiply
    146,081x = 201,592.14 × 79,013
  4. Step 4: Simplify right side
    146,081x = 15,928,399,757.82
  5. Step 5: Solve for x
    x = 15,928,399,757.82/146,081
  6. Step 6: Final answer
    x = 109,038.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.