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Finding the Fourth Proportional to 106,326.15, 146,724.66 and 58,578.54

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Solution

The fourth proportional to 106,326.15, 146,724.66 and 58,578.54 is: 80,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326.15 : 146,724.66 = 58,578.54 : x
  2. Step 2: Convert to fraction form
    106,326.15/146,724.66 = 58,578.54/x
  3. Step 3: Cross multiply
    106,326.15x = 146,724.66 × 58,578.54
  4. Step 4: Simplify right side
    106,326.15x = 8,594,916,364.80
  5. Step 5: Solve for x
    x = 8,594,916,364.80/106,326.15
  6. Step 6: Final answer
    x = 80,835.40

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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.