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Finding the Fourth Proportional to 102,143.19, 153,214.81 and 27,263.62

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Solution

The fourth proportional to 102,143.19, 153,214.81 and 27,263.62 is: 40,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143.19 : 153,214.81 = 27,263.62 : x
  2. Step 2: Convert to fraction form
    102,143.19/153,214.81 = 27,263.62/x
  3. Step 3: Cross multiply
    102,143.19x = 153,214.81 × 27,263.62
  4. Step 4: Simplify right side
    102,143.19x = 4,177,190,481.57
  5. Step 5: Solve for x
    x = 4,177,190,481.57/102,143.19
  6. Step 6: Final answer
    x = 40,895.44

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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.