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Finding the Fourth Proportional to 106,185.68, 146,533.56 and 57,785.55

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Solution

The fourth proportional to 106,185.68, 146,533.56 and 57,785.55 is: 79,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,185.68 : 146,533.56 = 57,785.55 : x
  2. Step 2: Convert to fraction form
    106,185.68/146,533.56 = 57,785.55/x
  3. Step 3: Cross multiply
    106,185.68x = 146,533.56 × 57,785.55
  4. Step 4: Simplify right side
    106,185.68x = 8,467,522,416.11
  5. Step 5: Solve for x
    x = 8,467,522,416.11/106,185.68
  6. Step 6: Final answer
    x = 79,742.60

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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.