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Finding the Fourth Proportional to 102,251.57, 153,400.40 and 31,180.49

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Solution

The fourth proportional to 102,251.57, 153,400.40 and 31,180.49 is: 46,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,251.57 : 153,400.40 = 31,180.49 : x
  2. Step 2: Convert to fraction form
    102,251.57/153,400.40 = 31,180.49/x
  3. Step 3: Cross multiply
    102,251.57x = 153,400.40 × 31,180.49
  4. Step 4: Simplify right side
    102,251.57x = 4,783,099,482.29
  5. Step 5: Solve for x
    x = 4,783,099,482.29/102,251.57
  6. Step 6: Final answer
    x = 46,777.76

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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.