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Finding the Fourth Proportional to 195,298.59, 269,513.68 and 105,874.59

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Solution

The fourth proportional to 195,298.59, 269,513.68 and 105,874.59 is: 146,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,298.59 : 269,513.68 = 105,874.59 : x
  2. Step 2: Convert to fraction form
    195,298.59/269,513.68 = 105,874.59/x
  3. Step 3: Cross multiply
    195,298.59x = 269,513.68 × 105,874.59
  4. Step 4: Simplify right side
    195,298.59x = 28,534,651,313.90
  5. Step 5: Solve for x
    x = 28,534,651,313.90/195,298.59
  6. Step 6: Final answer
    x = 146,107.82

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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.