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Finding the Fourth Proportional to 106,499.08, 146,969.78 and 58,754.20

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Solution

The fourth proportional to 106,499.08, 146,969.78 and 58,754.20 is: 81,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,499.08 : 146,969.78 = 58,754.20 : x
  2. Step 2: Convert to fraction form
    106,499.08/146,969.78 = 58,754.20/x
  3. Step 3: Cross multiply
    106,499.08x = 146,969.78 × 58,754.20
  4. Step 4: Simplify right side
    106,499.08x = 8,635,091,848.08
  5. Step 5: Solve for x
    x = 8,635,091,848.08/106,499.08
  6. Step 6: Final answer
    x = 81,081.38

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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.