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Finding the Fourth Proportional to 142,697.70, 214,029.54 and 37,524.87

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Solution

The fourth proportional to 142,697.70, 214,029.54 and 37,524.87 is: 56,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,697.70 : 214,029.54 = 37,524.87 : x
  2. Step 2: Convert to fraction form
    142,697.70/214,029.54 = 37,524.87/x
  3. Step 3: Cross multiply
    142,697.70x = 214,029.54 × 37,524.87
  4. Step 4: Simplify right side
    142,697.70x = 8,031,430,664.66
  5. Step 5: Solve for x
    x = 8,031,430,664.66/142,697.70
  6. Step 6: Final answer
    x = 56,282.83

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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.