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Finding the Fourth Proportional to 106,195.50, 146,548.03 and 58,447.89

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Solution

The fourth proportional to 106,195.50, 146,548.03 and 58,447.89 is: 80,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.50 : 146,548.03 = 58,447.89 : x
  2. Step 2: Convert to fraction form
    106,195.50/146,548.03 = 58,447.89/x
  3. Step 3: Cross multiply
    106,195.50x = 146,548.03 × 58,447.89
  4. Step 4: Simplify right side
    106,195.50x = 8,565,423,137.16
  5. Step 5: Solve for x
    x = 8,565,423,137.16/106,195.50
  6. Step 6: Final answer
    x = 80,657.12

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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.