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Finding the Fourth Proportional to 143,356.70, 197,837.35 and 78,830.85

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Solution

The fourth proportional to 143,356.70, 197,837.35 and 78,830.85 is: 108,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,356.70 : 197,837.35 = 78,830.85 : x
  2. Step 2: Convert to fraction form
    143,356.70/197,837.35 = 78,830.85/x
  3. Step 3: Cross multiply
    143,356.70x = 197,837.35 × 78,830.85
  4. Step 4: Simplify right side
    143,356.70x = 15,595,686,462.25
  5. Step 5: Solve for x
    x = 15,595,686,462.25/143,356.70
  6. Step 6: Final answer
    x = 108,789.38

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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.