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Finding the Fourth Proportional to 115,298, 159,111.24 and 62,306

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Solution

The fourth proportional to 115,298, 159,111.24 and 62,306 is: 85,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,298 : 159,111.24 = 62,306 : x
  2. Step 2: Convert to fraction form
    115,298/159,111.24 = 62,306/x
  3. Step 3: Cross multiply
    115,298x = 159,111.24 × 62,306
  4. Step 4: Simplify right side
    115,298x = 9,913,584,919.44
  5. Step 5: Solve for x
    x = 9,913,584,919.44/115,298
  6. Step 6: Final answer
    x = 85,982.28

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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.