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Finding the Fourth Proportional to 133,193.57, 199,864.16 and 54,301.69

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Solution

The fourth proportional to 133,193.57, 199,864.16 and 54,301.69 is: 81,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,193.57 : 199,864.16 = 54,301.69 : x
  2. Step 2: Convert to fraction form
    133,193.57/199,864.16 = 54,301.69/x
  3. Step 3: Cross multiply
    133,193.57x = 199,864.16 × 54,301.69
  4. Step 4: Simplify right side
    133,193.57x = 10,852,961,840.38
  5. Step 5: Solve for x
    x = 10,852,961,840.38/133,193.57
  6. Step 6: Final answer
    x = 81,482.63

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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.