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Finding the Fourth Proportional to 143,098.12, 214,651.23 and 37,917.10

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Solution

The fourth proportional to 143,098.12, 214,651.23 and 37,917.10 is: 56,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098.12 : 214,651.23 = 37,917.10 : x
  2. Step 2: Convert to fraction form
    143,098.12/214,651.23 = 37,917.10/x
  3. Step 3: Cross multiply
    143,098.12x = 214,651.23 × 37,917.10
  4. Step 4: Simplify right side
    143,098.12x = 8,138,952,153.03
  5. Step 5: Solve for x
    x = 8,138,952,153.03/143,098.12
  6. Step 6: Final answer
    x = 56,876.72

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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.