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Finding the Fourth Proportional to 142,742.44, 214,117.41 and 41,536.41

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Solution

The fourth proportional to 142,742.44, 214,117.41 and 41,536.41 is: 62,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,742.44 : 214,117.41 = 41,536.41 : x
  2. Step 2: Convert to fraction form
    142,742.44/214,117.41 = 41,536.41/x
  3. Step 3: Cross multiply
    142,742.44x = 214,117.41 × 41,536.41
  4. Step 4: Simplify right side
    142,742.44x = 8,893,668,529.90
  5. Step 5: Solve for x
    x = 8,893,668,529.90/142,742.44
  6. Step 6: Final answer
    x = 62,305.71

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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.