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Finding the Fourth Proportional to 191,408.16, 264,151.92 and 110,839.20

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Solution

The fourth proportional to 191,408.16, 264,151.92 and 110,839.20 is: 152,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,408.16 : 264,151.92 = 110,839.20 : x
  2. Step 2: Convert to fraction form
    191,408.16/264,151.92 = 110,839.20/x
  3. Step 3: Cross multiply
    191,408.16x = 264,151.92 × 110,839.20
  4. Step 4: Simplify right side
    191,408.16x = 29,278,387,491.26
  5. Step 5: Solve for x
    x = 29,278,387,491.26/191,408.16
  6. Step 6: Final answer
    x = 152,963.11

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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.