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Finding the Fourth Proportional to 106,289.78, 159,457.17 and 35,208.40

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Solution

The fourth proportional to 106,289.78, 159,457.17 and 35,208.40 is: 52,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289.78 : 159,457.17 = 35,208.40 : x
  2. Step 2: Convert to fraction form
    106,289.78/159,457.17 = 35,208.40/x
  3. Step 3: Cross multiply
    106,289.78x = 159,457.17 × 35,208.40
  4. Step 4: Simplify right side
    106,289.78x = 5,614,230,850.90
  5. Step 5: Solve for x
    x = 5,614,230,850.90/106,289.78
  6. Step 6: Final answer
    x = 52,820.04

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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.