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Finding the Fourth Proportional to 208,874.10, 313,271.19 and 59,078.24

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Solution

The fourth proportional to 208,874.10, 313,271.19 and 59,078.24 is: 88,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.10 : 313,271.19 = 59,078.24 : x
  2. Step 2: Convert to fraction form
    208,874.10/313,271.19 = 59,078.24/x
  3. Step 3: Cross multiply
    208,874.10x = 313,271.19 × 59,078.24
  4. Step 4: Simplify right side
    208,874.10x = 18,507,508,981.55
  5. Step 5: Solve for x
    x = 18,507,508,981.55/208,874.10
  6. Step 6: Final answer
    x = 88,606.05

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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.