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Finding the Fourth Proportional to 132,436, 198,778.84 and 48,277.50

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Solution

The fourth proportional to 132,436, 198,778.84 and 48,277.50 is: 72,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,436 : 198,778.84 = 48,277.50 : x
  2. Step 2: Convert to fraction form
    132,436/198,778.84 = 48,277.50/x
  3. Step 3: Cross multiply
    132,436x = 198,778.84 × 48,277.50
  4. Step 4: Simplify right side
    132,436x = 9,596,545,448.10
  5. Step 5: Solve for x
    x = 9,596,545,448.10/132,436
  6. Step 6: Final answer
    x = 72,461.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.