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Finding the Fourth Proportional to 106,387.83, 146,815.22 and 58,642.22

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Solution

The fourth proportional to 106,387.83, 146,815.22 and 58,642.22 is: 80,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,387.83 : 146,815.22 = 58,642.22 : x
  2. Step 2: Convert to fraction form
    106,387.83/146,815.22 = 58,642.22/x
  3. Step 3: Cross multiply
    106,387.83x = 146,815.22 × 58,642.22
  4. Step 4: Simplify right side
    106,387.83x = 8,609,570,944.23
  5. Step 5: Solve for x
    x = 8,609,570,944.23/106,387.83
  6. Step 6: Final answer
    x = 80,926.28

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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.