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Finding the Fourth Proportional to 200,375.47, 300,542.17 and 105,567.50

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Solution

The fourth proportional to 200,375.47, 300,542.17 and 105,567.50 is: 158,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,375.47 : 300,542.17 = 105,567.50 : x
  2. Step 2: Convert to fraction form
    200,375.47/300,542.17 = 105,567.50/x
  3. Step 3: Cross multiply
    200,375.47x = 300,542.17 × 105,567.50
  4. Step 4: Simplify right side
    200,375.47x = 31,727,484,028.76
  5. Step 5: Solve for x
    x = 31,727,484,028.76/200,375.47
  6. Step 6: Final answer
    x = 158,340.16

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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.