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Finding the Fourth Proportional to 186,305.16, 257,134.78 and 109,819.85

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Solution

The fourth proportional to 186,305.16, 257,134.78 and 109,819.85 is: 151,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,305.16 : 257,134.78 = 109,819.85 : x
  2. Step 2: Convert to fraction form
    186,305.16/257,134.78 = 109,819.85/x
  3. Step 3: Cross multiply
    186,305.16x = 257,134.78 × 109,819.85
  4. Step 4: Simplify right side
    186,305.16x = 28,238,502,958.50
  5. Step 5: Solve for x
    x = 28,238,502,958.50/186,305.16
  6. Step 6: Final answer
    x = 151,571.23

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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.