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Finding the Fourth Proportional to 191,295.78, 263,981.07 and 106,411.02

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Solution

The fourth proportional to 191,295.78, 263,981.07 and 106,411.02 is: 146,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,295.78 : 263,981.07 = 106,411.02 : x
  2. Step 2: Convert to fraction form
    191,295.78/263,981.07 = 106,411.02/x
  3. Step 3: Cross multiply
    191,295.78x = 263,981.07 × 106,411.02
  4. Step 4: Simplify right side
    191,295.78x = 28,090,494,919.39
  5. Step 5: Solve for x
    x = 28,090,494,919.39/191,295.78
  6. Step 6: Final answer
    x = 146,843.25

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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.