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Finding the Fourth Proportional to 199,565.70, 298,911.15 and 177,404.10

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Solution

The fourth proportional to 199,565.70, 298,911.15 and 177,404.10 is: 265,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,565.70 : 298,911.15 = 177,404.10 : x
  2. Step 2: Convert to fraction form
    199,565.70/298,911.15 = 177,404.10/x
  3. Step 3: Cross multiply
    199,565.70x = 298,911.15 × 177,404.10
  4. Step 4: Simplify right side
    199,565.70x = 53,028,063,545.72
  5. Step 5: Solve for x
    x = 53,028,063,545.72/199,565.70
  6. Step 6: Final answer
    x = 265,717.32

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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.