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Finding the Fourth Proportional to 191,228.77, 263,891.95 and 106,344.01

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Solution

The fourth proportional to 191,228.77, 263,891.95 and 106,344.01 is: 146,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,228.77 : 263,891.95 = 106,344.01 : x
  2. Step 2: Convert to fraction form
    191,228.77/263,891.95 = 106,344.01/x
  3. Step 3: Cross multiply
    191,228.77x = 263,891.95 × 106,344.01
  4. Step 4: Simplify right side
    191,228.77x = 28,063,328,169.72
  5. Step 5: Solve for x
    x = 28,063,328,169.72/191,228.77
  6. Step 6: Final answer
    x = 146,752.65

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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.