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Finding the Fourth Proportional to 140,190.59, 193,461.69 and 86,454.11

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Solution

The fourth proportional to 140,190.59, 193,461.69 and 86,454.11 is: 119,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,190.59 : 193,461.69 = 86,454.11 : x
  2. Step 2: Convert to fraction form
    140,190.59/193,461.69 = 86,454.11/x
  3. Step 3: Cross multiply
    140,190.59x = 193,461.69 × 86,454.11
  4. Step 4: Simplify right side
    140,190.59x = 16,725,558,228.05
  5. Step 5: Solve for x
    x = 16,725,558,228.05/140,190.59
  6. Step 6: Final answer
    x = 119,305.86

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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.