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Finding the Fourth Proportional to 199,174.70, 298,815.24 and 86,863.98

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Solution

The fourth proportional to 199,174.70, 298,815.24 and 86,863.98 is: 130,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,174.70 : 298,815.24 = 86,863.98 : x
  2. Step 2: Convert to fraction form
    199,174.70/298,815.24 = 86,863.98/x
  3. Step 3: Cross multiply
    199,174.70x = 298,815.24 × 86,863.98
  4. Step 4: Simplify right side
    199,174.70x = 25,956,281,031.06
  5. Step 5: Solve for x
    x = 25,956,281,031.06/199,174.70
  6. Step 6: Final answer
    x = 130,319.17

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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.