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Finding the Fourth Proportional to 136,175.20, 204,262.68 and 41,406.16

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Solution

The fourth proportional to 136,175.20, 204,262.68 and 41,406.16 is: 62,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,175.20 : 204,262.68 = 41,406.16 : x
  2. Step 2: Convert to fraction form
    136,175.20/204,262.68 = 41,406.16/x
  3. Step 3: Cross multiply
    136,175.20x = 204,262.68 × 41,406.16
  4. Step 4: Simplify right side
    136,175.20x = 8,457,733,210.11
  5. Step 5: Solve for x
    x = 8,457,733,210.11/136,175.20
  6. Step 6: Final answer
    x = 62,109.20

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