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Finding the Fourth Proportional to 106,142.12, 146,415.30 and 66,329

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Solution

The fourth proportional to 106,142.12, 146,415.30 and 66,329 is: 91,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,142.12 : 146,415.30 = 66,329 : x
  2. Step 2: Convert to fraction form
    106,142.12/146,415.30 = 66,329/x
  3. Step 3: Cross multiply
    106,142.12x = 146,415.30 × 66,329
  4. Step 4: Simplify right side
    106,142.12x = 9,711,580,433.70
  5. Step 5: Solve for x
    x = 9,711,580,433.70/106,142.12
  6. Step 6: Final answer
    x = 91,496.01

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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.