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Finding the Fourth Proportional to 74,196.95, 102,391.83 and 40,205.70

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Solution

The fourth proportional to 74,196.95, 102,391.83 and 40,205.70 is: 55,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,196.95 : 102,391.83 = 40,205.70 : x
  2. Step 2: Convert to fraction form
    74,196.95/102,391.83 = 40,205.70/x
  3. Step 3: Cross multiply
    74,196.95x = 102,391.83 × 40,205.70
  4. Step 4: Simplify right side
    74,196.95x = 4,116,735,199.43
  5. Step 5: Solve for x
    x = 4,116,735,199.43/74,196.95
  6. Step 6: Final answer
    x = 55,483.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.