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Finding the Fourth Proportional to 106,348.52, 146,768.06 and 58,601.86

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Solution

The fourth proportional to 106,348.52, 146,768.06 and 58,601.86 is: 80,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348.52 : 146,768.06 = 58,601.86 : x
  2. Step 2: Convert to fraction form
    106,348.52/146,768.06 = 58,601.86/x
  3. Step 3: Cross multiply
    106,348.52x = 146,768.06 × 58,601.86
  4. Step 4: Simplify right side
    106,348.52x = 8,600,881,304.59
  5. Step 5: Solve for x
    x = 8,600,881,304.59/106,348.52
  6. Step 6: Final answer
    x = 80,874.48

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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.