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Finding the Fourth Proportional to 191,097.13, 263,671.17 and 115,644.01

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Solution

The fourth proportional to 191,097.13, 263,671.17 and 115,644.01 is: 159,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,097.13 : 263,671.17 = 115,644.01 : x
  2. Step 2: Convert to fraction form
    191,097.13/263,671.17 = 115,644.01/x
  3. Step 3: Cross multiply
    191,097.13x = 263,671.17 × 115,644.01
  4. Step 4: Simplify right side
    191,097.13x = 30,491,991,420.19
  5. Step 5: Solve for x
    x = 30,491,991,420.19/191,097.13
  6. Step 6: Final answer
    x = 159,562.79

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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.