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Finding the Fourth Proportional to 220,172.40, 330,258.60 and 137,113.20

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Solution

The fourth proportional to 220,172.40, 330,258.60 and 137,113.20 is: 205,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,172.40 : 330,258.60 = 137,113.20 : x
  2. Step 2: Convert to fraction form
    220,172.40/330,258.60 = 137,113.20/x
  3. Step 3: Cross multiply
    220,172.40x = 330,258.60 × 137,113.20
  4. Step 4: Simplify right side
    220,172.40x = 45,282,813,473.52
  5. Step 5: Solve for x
    x = 45,282,813,473.52/220,172.40
  6. Step 6: Final answer
    x = 205,669.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.