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Finding the Fourth Proportional to 106,392.92, 146,835.52 and 61,085.09

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Solution

The fourth proportional to 106,392.92, 146,835.52 and 61,085.09 is: 84,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.92 : 146,835.52 = 61,085.09 : x
  2. Step 2: Convert to fraction form
    106,392.92/146,835.52 = 61,085.09/x
  3. Step 3: Cross multiply
    106,392.92x = 146,835.52 × 61,085.09
  4. Step 4: Simplify right side
    106,392.92x = 8,969,460,954.40
  5. Step 5: Solve for x
    x = 8,969,460,954.40/106,392.92
  6. Step 6: Final answer
    x = 84,305.05

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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.