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Finding the Fourth Proportional to 106,630.50, 159,899.13 and 56,698.50

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Solution

The fourth proportional to 106,630.50, 159,899.13 and 56,698.50 is: 85,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,630.50 : 159,899.13 = 56,698.50 : x
  2. Step 2: Convert to fraction form
    106,630.50/159,899.13 = 56,698.50/x
  3. Step 3: Cross multiply
    106,630.50x = 159,899.13 × 56,698.50
  4. Step 4: Simplify right side
    106,630.50x = 9,066,040,822.31
  5. Step 5: Solve for x
    x = 9,066,040,822.31/106,630.50
  6. Step 6: Final answer
    x = 85,022.96

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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.