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Finding the Fourth Proportional to 200,014.70, 300,022.05 and 121,282.70

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Solution

The fourth proportional to 200,014.70, 300,022.05 and 121,282.70 is: 181,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,014.70 : 300,022.05 = 121,282.70 : x
  2. Step 2: Convert to fraction form
    200,014.70/300,022.05 = 121,282.70/x
  3. Step 3: Cross multiply
    200,014.70x = 300,022.05 × 121,282.70
  4. Step 4: Simplify right side
    200,014.70x = 36,387,484,283.54
  5. Step 5: Solve for x
    x = 36,387,484,283.54/200,014.70
  6. Step 6: Final answer
    x = 181,924.05

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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.