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Finding the Fourth Proportional to 106,196.39, 146,534.22 and 60,865.64

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Solution

The fourth proportional to 106,196.39, 146,534.22 and 60,865.64 is: 83,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196.39 : 146,534.22 = 60,865.64 : x
  2. Step 2: Convert to fraction form
    106,196.39/146,534.22 = 60,865.64/x
  3. Step 3: Cross multiply
    106,196.39x = 146,534.22 × 60,865.64
  4. Step 4: Simplify right side
    106,196.39x = 8,918,898,349.53
  5. Step 5: Solve for x
    x = 8,918,898,349.53/106,196.39
  6. Step 6: Final answer
    x = 83,984.95

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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.