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Finding the Fourth Proportional to 140,165.48, 193,453.44 and 83,580.50

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Solution

The fourth proportional to 140,165.48, 193,453.44 and 83,580.50 is: 115,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,165.48 : 193,453.44 = 83,580.50 : x
  2. Step 2: Convert to fraction form
    140,165.48/193,453.44 = 83,580.50/x
  3. Step 3: Cross multiply
    140,165.48x = 193,453.44 × 83,580.50
  4. Step 4: Simplify right side
    140,165.48x = 16,168,935,241.92
  5. Step 5: Solve for x
    x = 16,168,935,241.92/140,165.48
  6. Step 6: Final answer
    x = 115,356.04

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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.