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Finding the Fourth Proportional to 191,594.24, 264,383.12 and 110,996

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Solution

The fourth proportional to 191,594.24, 264,383.12 and 110,996 is: 153,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,594.24 : 264,383.12 = 110,996 : x
  2. Step 2: Convert to fraction form
    191,594.24/264,383.12 = 110,996/x
  3. Step 3: Cross multiply
    191,594.24x = 264,383.12 × 110,996
  4. Step 4: Simplify right side
    191,594.24x = 29,345,468,787.52
  5. Step 5: Solve for x
    x = 29,345,468,787.52/191,594.24
  6. Step 6: Final answer
    x = 153,164.67

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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.