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Finding the Fourth Proportional to 195,565.94, 269,881.17 and 106,141.94

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Solution

The fourth proportional to 195,565.94, 269,881.17 and 106,141.94 is: 146,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,565.94 : 269,881.17 = 106,141.94 : x
  2. Step 2: Convert to fraction form
    195,565.94/269,881.17 = 106,141.94/x
  3. Step 3: Cross multiply
    195,565.94x = 269,881.17 × 106,141.94
  4. Step 4: Simplify right side
    195,565.94x = 28,645,710,953.27
  5. Step 5: Solve for x
    x = 28,645,710,953.27/195,565.94
  6. Step 6: Final answer
    x = 146,475.97

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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.