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Finding the Fourth Proportional to 146,284, 201,871.92 and 79,216

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Solution

The fourth proportional to 146,284, 201,871.92 and 79,216 is: 109,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,284 : 201,871.92 = 79,216 : x
  2. Step 2: Convert to fraction form
    146,284/201,871.92 = 79,216/x
  3. Step 3: Cross multiply
    146,284x = 201,871.92 × 79,216
  4. Step 4: Simplify right side
    146,284x = 15,991,486,014.72
  5. Step 5: Solve for x
    x = 15,991,486,014.72/146,284
  6. Step 6: Final answer
    x = 109,318.08

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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.