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Finding the Fourth Proportional to 146,611.60, 202,302.50 and 82,077.48

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Solution

The fourth proportional to 146,611.60, 202,302.50 and 82,077.48 is: 113,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,611.60 : 202,302.50 = 82,077.48 : x
  2. Step 2: Convert to fraction form
    146,611.60/202,302.50 = 82,077.48/x
  3. Step 3: Cross multiply
    146,611.60x = 202,302.50 × 82,077.48
  4. Step 4: Simplify right side
    146,611.60x = 16,604,478,987.31
  5. Step 5: Solve for x
    x = 16,604,478,987.31/146,611.60
  6. Step 6: Final answer
    x = 113,254.88

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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.