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Finding the Fourth Proportional to 191,825.96, 264,721.57 and 115,347.38

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Solution

The fourth proportional to 191,825.96, 264,721.57 and 115,347.38 is: 159,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,825.96 : 264,721.57 = 115,347.38 : x
  2. Step 2: Convert to fraction form
    191,825.96/264,721.57 = 115,347.38/x
  3. Step 3: Cross multiply
    191,825.96x = 264,721.57 × 115,347.38
  4. Step 4: Simplify right side
    191,825.96x = 30,534,937,917.01
  5. Step 5: Solve for x
    x = 30,534,937,917.01/191,825.96
  6. Step 6: Final answer
    x = 159,180.43

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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.