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Finding the Fourth Proportional to 133,563.53, 200,367.17 and 63,419.15

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Solution

The fourth proportional to 133,563.53, 200,367.17 and 63,419.15 is: 95,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,563.53 : 200,367.17 = 63,419.15 : x
  2. Step 2: Convert to fraction form
    133,563.53/200,367.17 = 63,419.15/x
  3. Step 3: Cross multiply
    133,563.53x = 200,367.17 × 63,419.15
  4. Step 4: Simplify right side
    133,563.53x = 12,707,116,030.95
  5. Step 5: Solve for x
    x = 12,707,116,030.95/133,563.53
  6. Step 6: Final answer
    x = 95,139.11

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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.