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Finding the Fourth Proportional to 191,242.52, 263,910.93 and 106,357.76

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Solution

The fourth proportional to 191,242.52, 263,910.93 and 106,357.76 is: 146,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,242.52 : 263,910.93 = 106,357.76 : x
  2. Step 2: Convert to fraction form
    191,242.52/263,910.93 = 106,357.76/x
  3. Step 3: Cross multiply
    191,242.52x = 263,910.93 × 106,357.76
  4. Step 4: Simplify right side
    191,242.52x = 28,068,975,354.32
  5. Step 5: Solve for x
    x = 28,068,975,354.32/191,242.52
  6. Step 6: Final answer
    x = 146,771.62

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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.