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Finding the Fourth Proportional to 133,568.49, 200,368.53 and 83,652.72

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Solution

The fourth proportional to 133,568.49, 200,368.53 and 83,652.72 is: 125,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.49 : 200,368.53 = 83,652.72 : x
  2. Step 2: Convert to fraction form
    133,568.49/200,368.53 = 83,652.72/x
  3. Step 3: Cross multiply
    133,568.49x = 200,368.53 × 83,652.72
  4. Step 4: Simplify right side
    133,568.49x = 16,761,372,536.90
  5. Step 5: Solve for x
    x = 16,761,372,536.90/133,568.49
  6. Step 6: Final answer
    x = 125,488.97

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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.