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Finding the Fourth Proportional to 200,132.69, 299,901.96 and 111,263.94

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Solution

The fourth proportional to 200,132.69, 299,901.96 and 111,263.94 is: 166,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,132.69 : 299,901.96 = 111,263.94 : x
  2. Step 2: Convert to fraction form
    200,132.69/299,901.96 = 111,263.94/x
  3. Step 3: Cross multiply
    200,132.69x = 299,901.96 × 111,263.94
  4. Step 4: Simplify right side
    200,132.69x = 33,368,273,683.32
  5. Step 5: Solve for x
    x = 33,368,273,683.32/200,132.69
  6. Step 6: Final answer
    x = 166,730.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.