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Finding the Fourth Proportional to 101,226.78, 151,932.65 and 51,341.31

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Solution

The fourth proportional to 101,226.78, 151,932.65 and 51,341.31 is: 77,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,226.78 : 151,932.65 = 51,341.31 : x
  2. Step 2: Convert to fraction form
    101,226.78/151,932.65 = 51,341.31/x
  3. Step 3: Cross multiply
    101,226.78x = 151,932.65 × 51,341.31
  4. Step 4: Simplify right side
    101,226.78x = 7,800,421,026.06
  5. Step 5: Solve for x
    x = 7,800,421,026.06/101,226.78
  6. Step 6: Final answer
    x = 77,058.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.