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Finding the Fourth Proportional to 142,105.66, 213,112.32 and 47,310.37

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Solution

The fourth proportional to 142,105.66, 213,112.32 and 47,310.37 is: 70,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.66 : 213,112.32 = 47,310.37 : x
  2. Step 2: Convert to fraction form
    142,105.66/213,112.32 = 47,310.37/x
  3. Step 3: Cross multiply
    142,105.66x = 213,112.32 × 47,310.37
  4. Step 4: Simplify right side
    142,105.66x = 10,082,422,710.76
  5. Step 5: Solve for x
    x = 10,082,422,710.76/142,105.66
  6. Step 6: Final answer
    x = 70,950.18

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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.