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Finding the Fourth Proportional to 142,781.76, 214,183.16 and 37,600

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Solution

The fourth proportional to 142,781.76, 214,183.16 and 37,600 is: 56,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.76 : 214,183.16 = 37,600 : x
  2. Step 2: Convert to fraction form
    142,781.76/214,183.16 = 37,600/x
  3. Step 3: Cross multiply
    142,781.76x = 214,183.16 × 37,600
  4. Step 4: Simplify right side
    142,781.76x = 8,053,286,816
  5. Step 5: Solve for x
    x = 8,053,286,816/142,781.76
  6. Step 6: Final answer
    x = 56,402.77

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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.