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Finding the Fourth Proportional to 142,981.88, 214,472.81 and 37,800.84

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Solution

The fourth proportional to 142,981.88, 214,472.81 and 37,800.84 is: 56,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,981.88 : 214,472.81 = 37,800.84 : x
  2. Step 2: Convert to fraction form
    142,981.88/214,472.81 = 37,800.84/x
  3. Step 3: Cross multiply
    142,981.88x = 214,472.81 × 37,800.84
  4. Step 4: Simplify right side
    142,981.88x = 8,107,253,273.94
  5. Step 5: Solve for x
    x = 8,107,253,273.94/142,981.88
  6. Step 6: Final answer
    x = 56,701.27

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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.