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Finding the Fourth Proportional to 103,706.20, 155,636.10 and 41,421.40

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Solution

The fourth proportional to 103,706.20, 155,636.10 and 41,421.40 is: 62,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,706.20 : 155,636.10 = 41,421.40 : x
  2. Step 2: Convert to fraction form
    103,706.20/155,636.10 = 41,421.40/x
  3. Step 3: Cross multiply
    103,706.20x = 155,636.10 × 41,421.40
  4. Step 4: Simplify right side
    103,706.20x = 6,446,665,152.54
  5. Step 5: Solve for x
    x = 6,446,665,152.54/103,706.20
  6. Step 6: Final answer
    x = 62,162.77

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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.