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Finding the Fourth Proportional to 195,709.24, 270,078.74 and 110,842.71

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Solution

The fourth proportional to 195,709.24, 270,078.74 and 110,842.71 is: 152,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,709.24 : 270,078.74 = 110,842.71 : x
  2. Step 2: Convert to fraction form
    195,709.24/270,078.74 = 110,842.71/x
  3. Step 3: Cross multiply
    195,709.24x = 270,078.74 × 110,842.71
  4. Step 4: Simplify right side
    195,709.24x = 29,936,257,550.38
  5. Step 5: Solve for x
    x = 29,936,257,550.38/195,709.24
  6. Step 6: Final answer
    x = 152,962.92

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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.