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Finding the Fourth Proportional to 106,350.74, 146,767.38 and 61,037

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Solution

The fourth proportional to 106,350.74, 146,767.38 and 61,037 is: 84,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,350.74 : 146,767.38 = 61,037 : x
  2. Step 2: Convert to fraction form
    106,350.74/146,767.38 = 61,037/x
  3. Step 3: Cross multiply
    106,350.74x = 146,767.38 × 61,037
  4. Step 4: Simplify right side
    106,350.74x = 8,958,240,573.06
  5. Step 5: Solve for x
    x = 8,958,240,573.06/106,350.74
  6. Step 6: Final answer
    x = 84,232.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.