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Finding the Fourth Proportional to 113,197.50, 156,319.47 and 72,983.43

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Solution

The fourth proportional to 113,197.50, 156,319.47 and 72,983.43 is: 100,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,197.50 : 156,319.47 = 72,983.43 : x
  2. Step 2: Convert to fraction form
    113,197.50/156,319.47 = 72,983.43/x
  3. Step 3: Cross multiply
    113,197.50x = 156,319.47 × 72,983.43
  4. Step 4: Simplify right side
    113,197.50x = 11,408,731,096.38
  5. Step 5: Solve for x
    x = 11,408,731,096.38/113,197.50
  6. Step 6: Final answer
    x = 100,786.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.