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Finding the Fourth Proportional to 191,133.52, 263,773.26 and 106,252

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Solution

The fourth proportional to 191,133.52, 263,773.26 and 106,252 is: 146,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,133.52 : 263,773.26 = 106,252 : x
  2. Step 2: Convert to fraction form
    191,133.52/263,773.26 = 106,252/x
  3. Step 3: Cross multiply
    191,133.52x = 263,773.26 × 106,252
  4. Step 4: Simplify right side
    191,133.52x = 28,026,436,421.52
  5. Step 5: Solve for x
    x = 28,026,436,421.52/191,133.52
  6. Step 6: Final answer
    x = 146,632.76

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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.