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Finding the Fourth Proportional to 106,512.57, 146,980.71 and 58,766.31

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Solution

The fourth proportional to 106,512.57, 146,980.71 and 58,766.31 is: 81,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512.57 : 146,980.71 = 58,766.31 : x
  2. Step 2: Convert to fraction form
    106,512.57/146,980.71 = 58,766.31/x
  3. Step 3: Cross multiply
    106,512.57x = 146,980.71 × 58,766.31
  4. Step 4: Simplify right side
    106,512.57x = 8,637,513,967.88
  5. Step 5: Solve for x
    x = 8,637,513,967.88/106,512.57
  6. Step 6: Final answer
    x = 81,093.85

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1.5x scale

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.