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Finding the Fourth Proportional to 191,800.48, 264,632.74 and 109,013.32

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Solution

The fourth proportional to 191,800.48, 264,632.74 and 109,013.32 is: 150,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,800.48 : 264,632.74 = 109,013.32 : x
  2. Step 2: Convert to fraction form
    191,800.48/264,632.74 = 109,013.32/x
  3. Step 3: Cross multiply
    191,800.48x = 264,632.74 × 109,013.32
  4. Step 4: Simplify right side
    191,800.48x = 28,848,491,699.87
  5. Step 5: Solve for x
    x = 28,848,491,699.87/191,800.48
  6. Step 6: Final answer
    x = 150,408.86

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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.