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Finding the Fourth Proportional to 202,363.98, 279,271.36 and 116,350.82

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Solution

The fourth proportional to 202,363.98, 279,271.36 and 116,350.82 is: 160,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,363.98 : 279,271.36 = 116,350.82 : x
  2. Step 2: Convert to fraction form
    202,363.98/279,271.36 = 116,350.82/x
  3. Step 3: Cross multiply
    202,363.98x = 279,271.36 × 116,350.82
  4. Step 4: Simplify right side
    202,363.98x = 32,493,451,738.52
  5. Step 5: Solve for x
    x = 32,493,451,738.52/202,363.98
  6. Step 6: Final answer
    x = 160,569.35

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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.