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Finding the Fourth Proportional to 142,694.94, 214,042.41 and 37,513.74

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Solution

The fourth proportional to 142,694.94, 214,042.41 and 37,513.74 is: 56,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,694.94 : 214,042.41 = 37,513.74 : x
  2. Step 2: Convert to fraction form
    142,694.94/214,042.41 = 37,513.74/x
  3. Step 3: Cross multiply
    142,694.94x = 214,042.41 × 37,513.74
  4. Step 4: Simplify right side
    142,694.94x = 8,029,531,317.71
  5. Step 5: Solve for x
    x = 8,029,531,317.71/142,694.94
  6. Step 6: Final answer
    x = 56,270.61

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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.