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Finding the Fourth Proportional to 140,142.94, 193,310.74 and 99,869.60

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Solution

The fourth proportional to 140,142.94, 193,310.74 and 99,869.60 is: 137,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142.94 : 193,310.74 = 99,869.60 : x
  2. Step 2: Convert to fraction form
    140,142.94/193,310.74 = 99,869.60/x
  3. Step 3: Cross multiply
    140,142.94x = 193,310.74 × 99,869.60
  4. Step 4: Simplify right side
    140,142.94x = 19,305,866,279.50
  5. Step 5: Solve for x
    x = 19,305,866,279.50/140,142.94
  6. Step 6: Final answer
    x = 137,758.39

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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.