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Finding the Fourth Proportional to 135,106.62, 202,684.41 and 41,590.50

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Solution

The fourth proportional to 135,106.62, 202,684.41 and 41,590.50 is: 62,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,106.62 : 202,684.41 = 41,590.50 : x
  2. Step 2: Convert to fraction form
    135,106.62/202,684.41 = 41,590.50/x
  3. Step 3: Cross multiply
    135,106.62x = 202,684.41 × 41,590.50
  4. Step 4: Simplify right side
    135,106.62x = 8,429,745,954.11
  5. Step 5: Solve for x
    x = 8,429,745,954.11/135,106.62
  6. Step 6: Final answer
    x = 62,393.29

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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.