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Finding the Fourth Proportional to 139,217.70, 208,826.55 and 97,227.30

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Solution

The fourth proportional to 139,217.70, 208,826.55 and 97,227.30 is: 145,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,217.70 : 208,826.55 = 97,227.30 : x
  2. Step 2: Convert to fraction form
    139,217.70/208,826.55 = 97,227.30/x
  3. Step 3: Cross multiply
    139,217.70x = 208,826.55 × 97,227.30
  4. Step 4: Simplify right side
    139,217.70x = 20,303,641,624.82
  5. Step 5: Solve for x
    x = 20,303,641,624.82/139,217.70
  6. Step 6: Final answer
    x = 145,840.95

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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.