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Finding the Fourth Proportional to 197,139.70, 295,709.55 and 97,315.30

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Solution

The fourth proportional to 197,139.70, 295,709.55 and 97,315.30 is: 145,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,139.70 : 295,709.55 = 97,315.30 : x
  2. Step 2: Convert to fraction form
    197,139.70/295,709.55 = 97,315.30/x
  3. Step 3: Cross multiply
    197,139.70x = 295,709.55 × 97,315.30
  4. Step 4: Simplify right side
    197,139.70x = 28,777,063,571.12
  5. Step 5: Solve for x
    x = 28,777,063,571.12/197,139.70
  6. Step 6: Final answer
    x = 145,972.95

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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.