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Finding the Fourth Proportional to 106,903.96, 160,354.22 and 36,783.88

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Solution

The fourth proportional to 106,903.96, 160,354.22 and 36,783.88 is: 55,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.96 : 160,354.22 = 36,783.88 : x
  2. Step 2: Convert to fraction form
    106,903.96/160,354.22 = 36,783.88/x
  3. Step 3: Cross multiply
    106,903.96x = 160,354.22 × 36,783.88
  4. Step 4: Simplify right side
    106,903.96x = 5,898,450,385.97
  5. Step 5: Solve for x
    x = 5,898,450,385.97/106,903.96
  6. Step 6: Final answer
    x = 55,175.23

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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.