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Finding the Fourth Proportional to 134,195.67, 185,129.10 and 83,194.83

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Solution

The fourth proportional to 134,195.67, 185,129.10 and 83,194.83 is: 114,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,195.67 : 185,129.10 = 83,194.83 : x
  2. Step 2: Convert to fraction form
    134,195.67/185,129.10 = 83,194.83/x
  3. Step 3: Cross multiply
    134,195.67x = 185,129.10 × 83,194.83
  4. Step 4: Simplify right side
    134,195.67x = 15,401,784,002.55
  5. Step 5: Solve for x
    x = 15,401,784,002.55/134,195.67
  6. Step 6: Final answer
    x = 114,771.10

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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.