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Finding the Fourth Proportional to 199,551.83, 275,384.07 and 117,882.77

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Solution

The fourth proportional to 199,551.83, 275,384.07 and 117,882.77 is: 162,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,551.83 : 275,384.07 = 117,882.77 : x
  2. Step 2: Convert to fraction form
    199,551.83/275,384.07 = 117,882.77/x
  3. Step 3: Cross multiply
    199,551.83x = 275,384.07 × 117,882.77
  4. Step 4: Simplify right side
    199,551.83x = 32,463,035,608.55
  5. Step 5: Solve for x
    x = 32,463,035,608.55/199,551.83
  6. Step 6: Final answer
    x = 162,679.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.