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Finding the Fourth Proportional to 106,185, 146,538.75 and 60,871.57

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Solution

The fourth proportional to 106,185, 146,538.75 and 60,871.57 is: 84,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,185 : 146,538.75 = 60,871.57 : x
  2. Step 2: Convert to fraction form
    106,185/146,538.75 = 60,871.57/x
  3. Step 3: Cross multiply
    106,185x = 146,538.75 × 60,871.57
  4. Step 4: Simplify right side
    106,185x = 8,920,043,778.34
  5. Step 5: Solve for x
    x = 8,920,043,778.34/106,185
  6. Step 6: Final answer
    x = 84,004.74

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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.