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Finding the Fourth Proportional to 207,148.40, 310,722.60 and 82,425.20

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Solution

The fourth proportional to 207,148.40, 310,722.60 and 82,425.20 is: 123,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,148.40 : 310,722.60 = 82,425.20 : x
  2. Step 2: Convert to fraction form
    207,148.40/310,722.60 = 82,425.20/x
  3. Step 3: Cross multiply
    207,148.40x = 310,722.60 × 82,425.20
  4. Step 4: Simplify right side
    207,148.40x = 25,611,372,449.52
  5. Step 5: Solve for x
    x = 25,611,372,449.52/207,148.40
  6. Step 6: Final answer
    x = 123,637.80

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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.