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Finding the Fourth Proportional to 205,303.40, 307,517.70 and 165,937.40

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Solution

The fourth proportional to 205,303.40, 307,517.70 and 165,937.40 is: 248,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,303.40 : 307,517.70 = 165,937.40 : x
  2. Step 2: Convert to fraction form
    205,303.40/307,517.70 = 165,937.40/x
  3. Step 3: Cross multiply
    205,303.40x = 307,517.70 × 165,937.40
  4. Step 4: Simplify right side
    205,303.40x = 51,028,687,591.98
  5. Step 5: Solve for x
    x = 51,028,687,591.98/205,303.40
  6. Step 6: Final answer
    x = 248,552.57

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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.