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Finding the Fourth Proportional to 151,753.50, 209,416.14 and 83,770.20

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Solution

The fourth proportional to 151,753.50, 209,416.14 and 83,770.20 is: 115,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,753.50 : 209,416.14 = 83,770.20 : x
  2. Step 2: Convert to fraction form
    151,753.50/209,416.14 = 83,770.20/x
  3. Step 3: Cross multiply
    151,753.50x = 209,416.14 × 83,770.20
  4. Step 4: Simplify right side
    151,753.50x = 17,542,831,931.03
  5. Step 5: Solve for x
    x = 17,542,831,931.03/151,753.50
  6. Step 6: Final answer
    x = 115,600.84

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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.