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Finding the Fourth Proportional to 199,095.78, 274,752.18 and 109,671.78

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Solution

The fourth proportional to 199,095.78, 274,752.18 and 109,671.78 is: 151,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,095.78 : 274,752.18 = 109,671.78 : x
  2. Step 2: Convert to fraction form
    199,095.78/274,752.18 = 109,671.78/x
  3. Step 3: Cross multiply
    199,095.78x = 274,752.18 × 109,671.78
  4. Step 4: Simplify right side
    199,095.78x = 30,132,560,639.48
  5. Step 5: Solve for x
    x = 30,132,560,639.48/199,095.78
  6. Step 6: Final answer
    x = 151,347.06

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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.