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Finding the Fourth Proportional to 106,142.88, 146,416.34 and 66,329.76

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Solution

The fourth proportional to 106,142.88, 146,416.34 and 66,329.76 is: 91,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,142.88 : 146,416.34 = 66,329.76 : x
  2. Step 2: Convert to fraction form
    106,142.88/146,416.34 = 66,329.76/x
  3. Step 3: Cross multiply
    106,142.88x = 146,416.34 × 66,329.76
  4. Step 4: Simplify right side
    106,142.88x = 9,711,760,692.28
  5. Step 5: Solve for x
    x = 9,711,760,692.28/106,142.88
  6. Step 6: Final answer
    x = 91,497.05

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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.