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Finding the Fourth Proportional to 106,394.68, 146,833.44 and 58,657.36

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Solution

The fourth proportional to 106,394.68, 146,833.44 and 58,657.36 is: 80,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.68 : 146,833.44 = 58,657.36 : x
  2. Step 2: Convert to fraction form
    106,394.68/146,833.44 = 58,657.36/x
  3. Step 3: Cross multiply
    106,394.68x = 146,833.44 × 58,657.36
  4. Step 4: Simplify right side
    106,394.68x = 8,612,861,950.12
  5. Step 5: Solve for x
    x = 8,612,861,950.12/106,394.68
  6. Step 6: Final answer
    x = 80,952.00

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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.