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Finding the Fourth Proportional to 191,979.28, 264,978.84 and 116,590.96

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Solution

The fourth proportional to 191,979.28, 264,978.84 and 116,590.96 is: 160,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,979.28 : 264,978.84 = 116,590.96 : x
  2. Step 2: Convert to fraction form
    191,979.28/264,978.84 = 116,590.96/x
  3. Step 3: Cross multiply
    191,979.28x = 264,978.84 × 116,590.96
  4. Step 4: Simplify right side
    191,979.28x = 30,894,137,335.29
  5. Step 5: Solve for x
    x = 30,894,137,335.29/191,979.28
  6. Step 6: Final answer
    x = 160,924.33

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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.