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Finding the Fourth Proportional to 132,933.78, 198,932.28 and 83,037.38

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Solution

The fourth proportional to 132,933.78, 198,932.28 and 83,037.38 is: 124,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,933.78 : 198,932.28 = 83,037.38 : x
  2. Step 2: Convert to fraction form
    132,933.78/198,932.28 = 83,037.38/x
  3. Step 3: Cross multiply
    132,933.78x = 198,932.28 × 83,037.38
  4. Step 4: Simplify right side
    132,933.78x = 16,518,815,328.63
  5. Step 5: Solve for x
    x = 16,518,815,328.63/132,933.78
  6. Step 6: Final answer
    x = 124,263.49

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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.