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Finding the Fourth Proportional to 106,473.85, 159,942.70 and 64,373.77

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Solution

The fourth proportional to 106,473.85, 159,942.70 and 64,373.77 is: 96,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,473.85 : 159,942.70 = 64,373.77 : x
  2. Step 2: Convert to fraction form
    106,473.85/159,942.70 = 64,373.77/x
  3. Step 3: Cross multiply
    106,473.85x = 159,942.70 × 64,373.77
  4. Step 4: Simplify right side
    106,473.85x = 10,296,114,863.37
  5. Step 5: Solve for x
    x = 10,296,114,863.37/106,473.85
  6. Step 6: Final answer
    x = 96,700.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.