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Finding the Fourth Proportional to 269,698.14, 404,422.07 and 157,410.81

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Solution

The fourth proportional to 269,698.14, 404,422.07 and 157,410.81 is: 236,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,698.14 : 404,422.07 = 157,410.81 : x
  2. Step 2: Convert to fraction form
    269,698.14/404,422.07 = 157,410.81/x
  3. Step 3: Cross multiply
    269,698.14x = 404,422.07 × 157,410.81
  4. Step 4: Simplify right side
    269,698.14x = 63,660,404,833.52
  5. Step 5: Solve for x
    x = 63,660,404,833.52/269,698.14
  6. Step 6: Final answer
    x = 236,043.17

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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.