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Finding the Fourth Proportional to 133,398.10, 200,097.15 and 54,568.90

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Solution

The fourth proportional to 133,398.10, 200,097.15 and 54,568.90 is: 81,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,398.10 : 200,097.15 = 54,568.90 : x
  2. Step 2: Convert to fraction form
    133,398.10/200,097.15 = 54,568.90/x
  3. Step 3: Cross multiply
    133,398.10x = 200,097.15 × 54,568.90
  4. Step 4: Simplify right side
    133,398.10x = 10,919,081,368.64
  5. Step 5: Solve for x
    x = 10,919,081,368.64/133,398.10
  6. Step 6: Final answer
    x = 81,853.35

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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.