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Finding the Fourth Proportional to 205,330.40, 307,995.60 and 142,344.80

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Solution

The fourth proportional to 205,330.40, 307,995.60 and 142,344.80 is: 213,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,330.40 : 307,995.60 = 142,344.80 : x
  2. Step 2: Convert to fraction form
    205,330.40/307,995.60 = 142,344.80/x
  3. Step 3: Cross multiply
    205,330.40x = 307,995.60 × 142,344.80
  4. Step 4: Simplify right side
    205,330.40x = 43,841,572,082.88
  5. Step 5: Solve for x
    x = 43,841,572,082.88/205,330.40
  6. Step 6: Final answer
    x = 213,517.20

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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.