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Finding the Fourth Proportional to 201,790.52, 278,470.89 and 116,956.79

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Solution

The fourth proportional to 201,790.52, 278,470.89 and 116,956.79 is: 161,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,790.52 : 278,470.89 = 116,956.79 : x
  2. Step 2: Convert to fraction form
    201,790.52/278,470.89 = 116,956.79/x
  3. Step 3: Cross multiply
    201,790.52x = 278,470.89 × 116,956.79
  4. Step 4: Simplify right side
    201,790.52x = 32,569,061,402.84
  5. Step 5: Solve for x
    x = 32,569,061,402.84/201,790.52
  6. Step 6: Final answer
    x = 161,400.35

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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.