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Finding the Fourth Proportional to 133,853.76, 200,799.15 and 45,132.63

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Solution

The fourth proportional to 133,853.76, 200,799.15 and 45,132.63 is: 67,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853.76 : 200,799.15 = 45,132.63 : x
  2. Step 2: Convert to fraction form
    133,853.76/200,799.15 = 45,132.63/x
  3. Step 3: Cross multiply
    133,853.76x = 200,799.15 × 45,132.63
  4. Step 4: Simplify right side
    133,853.76x = 9,062,593,741.26
  5. Step 5: Solve for x
    x = 9,062,593,741.26/133,853.76
  6. Step 6: Final answer
    x = 67,705.19

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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.