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Finding the Fourth Proportional to 106,446.96, 146,894.76 and 58,704.72

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Solution

The fourth proportional to 106,446.96, 146,894.76 and 58,704.72 is: 81,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446.96 : 146,894.76 = 58,704.72 : x
  2. Step 2: Convert to fraction form
    106,446.96/146,894.76 = 58,704.72/x
  3. Step 3: Cross multiply
    106,446.96x = 146,894.76 × 58,704.72
  4. Step 4: Simplify right side
    106,446.96x = 8,623,415,755.27
  5. Step 5: Solve for x
    x = 8,623,415,755.27/106,446.96
  6. Step 6: Final answer
    x = 81,011.39

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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.