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Finding the Fourth Proportional to 195,358.44, 269,509.38 and 114,643.56

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Solution

The fourth proportional to 195,358.44, 269,509.38 and 114,643.56 is: 158,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,358.44 : 269,509.38 = 114,643.56 : x
  2. Step 2: Convert to fraction form
    195,358.44/269,509.38 = 114,643.56/x
  3. Step 3: Cross multiply
    195,358.44x = 269,509.38 × 114,643.56
  4. Step 4: Simplify right side
    195,358.44x = 30,897,514,776.59
  5. Step 5: Solve for x
    x = 30,897,514,776.59/195,358.44
  6. Step 6: Final answer
    x = 158,158.07

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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.