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Finding the Fourth Proportional to 133,192.78, 199,767.58 and 48,932.22

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Solution

The fourth proportional to 133,192.78, 199,767.58 and 48,932.22 is: 73,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,192.78 : 199,767.58 = 48,932.22 : x
  2. Step 2: Convert to fraction form
    133,192.78/199,767.58 = 48,932.22/x
  3. Step 3: Cross multiply
    133,192.78x = 199,767.58 × 48,932.22
  4. Step 4: Simplify right side
    133,192.78x = 9,775,071,173.43
  5. Step 5: Solve for x
    x = 9,775,071,173.43/133,192.78
  6. Step 6: Final answer
    x = 73,390.40

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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.