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Finding the Fourth Proportional to 191,228.96, 263,897.52 and 106,344.20

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Solution

The fourth proportional to 191,228.96, 263,897.52 and 106,344.20 is: 146,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,228.96 : 263,897.52 = 106,344.20 : x
  2. Step 2: Convert to fraction form
    191,228.96/263,897.52 = 106,344.20/x
  3. Step 3: Cross multiply
    191,228.96x = 263,897.52 × 106,344.20
  4. Step 4: Simplify right side
    191,228.96x = 28,063,970,646.38
  5. Step 5: Solve for x
    x = 28,063,970,646.38/191,228.96
  6. Step 6: Final answer
    x = 146,755.86

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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.