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Finding the Fourth Proportional to 199,849.72, 275,792.64 and 110,425.72

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Solution

The fourth proportional to 199,849.72, 275,792.64 and 110,425.72 is: 152,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,849.72 : 275,792.64 = 110,425.72 : x
  2. Step 2: Convert to fraction form
    199,849.72/275,792.64 = 110,425.72/x
  3. Step 3: Cross multiply
    199,849.72x = 275,792.64 × 110,425.72
  4. Step 4: Simplify right side
    199,849.72x = 30,454,600,842.70
  5. Step 5: Solve for x
    x = 30,454,600,842.70/199,849.72
  6. Step 6: Final answer
    x = 152,387.51

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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.