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Finding the Fourth Proportional to 132,308.98, 198,466.71 and 38,817.70

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Solution

The fourth proportional to 132,308.98, 198,466.71 and 38,817.70 is: 58,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,308.98 : 198,466.71 = 38,817.70 : x
  2. Step 2: Convert to fraction form
    132,308.98/198,466.71 = 38,817.70/x
  3. Step 3: Cross multiply
    132,308.98x = 198,466.71 × 38,817.70
  4. Step 4: Simplify right side
    132,308.98x = 7,704,021,208.77
  5. Step 5: Solve for x
    x = 7,704,021,208.77/132,308.98
  6. Step 6: Final answer
    x = 58,227.50

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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.