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Finding the Fourth Proportional to 195,339.40, 269,573.87 and 109,295.93

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Solution

The fourth proportional to 195,339.40, 269,573.87 and 109,295.93 is: 150,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,339.40 : 269,573.87 = 109,295.93 : x
  2. Step 2: Convert to fraction form
    195,339.40/269,573.87 = 109,295.93/x
  3. Step 3: Cross multiply
    195,339.40x = 269,573.87 × 109,295.93
  4. Step 4: Simplify right side
    195,339.40x = 29,463,327,772.52
  5. Step 5: Solve for x
    x = 29,463,327,772.52/195,339.40
  6. Step 6: Final answer
    x = 150,831.47

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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.