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Finding the Fourth Proportional to 132,415, 198,559.98 and 48,115.68

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Solution

The fourth proportional to 132,415, 198,559.98 and 48,115.68 is: 72,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415 : 198,559.98 = 48,115.68 : x
  2. Step 2: Convert to fraction form
    132,415/198,559.98 = 48,115.68/x
  3. Step 3: Cross multiply
    132,415x = 198,559.98 × 48,115.68
  4. Step 4: Simplify right side
    132,415x = 9,553,848,458.49
  5. Step 5: Solve for x
    x = 9,553,848,458.49/132,415
  6. Step 6: Final answer
    x = 72,150.80

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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.