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Finding the Fourth Proportional to 102,207.12, 153,311.36 and 35,647

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Solution

The fourth proportional to 102,207.12, 153,311.36 and 35,647 is: 53,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,207.12 : 153,311.36 = 35,647 : x
  2. Step 2: Convert to fraction form
    102,207.12/153,311.36 = 35,647/x
  3. Step 3: Cross multiply
    102,207.12x = 153,311.36 × 35,647
  4. Step 4: Simplify right side
    102,207.12x = 5,465,090,049.92
  5. Step 5: Solve for x
    x = 5,465,090,049.92/102,207.12
  6. Step 6: Final answer
    x = 53,470.74

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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.