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Finding the Fourth Proportional to 106,291.29, 159,459.42 and 35,209.90

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Solution

The fourth proportional to 106,291.29, 159,459.42 and 35,209.90 is: 52,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291.29 : 159,459.42 = 35,209.90 : x
  2. Step 2: Convert to fraction form
    106,291.29/159,459.42 = 35,209.90/x
  3. Step 3: Cross multiply
    106,291.29x = 159,459.42 × 35,209.90
  4. Step 4: Simplify right side
    106,291.29x = 5,614,550,232.26
  5. Step 5: Solve for x
    x = 5,614,550,232.26/106,291.29
  6. Step 6: Final answer
    x = 52,822.30

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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.