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Finding the Fourth Proportional to 191,281.32, 263,968.32 and 106,396.56

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Solution

The fourth proportional to 191,281.32, 263,968.32 and 106,396.56 is: 146,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,281.32 : 263,968.32 = 106,396.56 : x
  2. Step 2: Convert to fraction form
    191,281.32/263,968.32 = 106,396.56/x
  3. Step 3: Cross multiply
    191,281.32x = 263,968.32 × 106,396.56
  4. Step 4: Simplify right side
    191,281.32x = 28,085,321,196.98
  5. Step 5: Solve for x
    x = 28,085,321,196.98/191,281.32
  6. Step 6: Final answer
    x = 146,827.31

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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.