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Finding the Fourth Proportional to 207,255.20, 310,882.80 and 137,213.60

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Solution

The fourth proportional to 207,255.20, 310,882.80 and 137,213.60 is: 205,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,255.20 : 310,882.80 = 137,213.60 : x
  2. Step 2: Convert to fraction form
    207,255.20/310,882.80 = 137,213.60/x
  3. Step 3: Cross multiply
    207,255.20x = 310,882.80 × 137,213.60
  4. Step 4: Simplify right side
    207,255.20x = 42,657,348,166.08
  5. Step 5: Solve for x
    x = 42,657,348,166.08/207,255.20
  6. Step 6: Final answer
    x = 205,820.40

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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.