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Finding the Fourth Proportional to 109,666.30, 164,499.45 and 81,672.70

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Solution

The fourth proportional to 109,666.30, 164,499.45 and 81,672.70 is: 122,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,666.30 : 164,499.45 = 81,672.70 : x
  2. Step 2: Convert to fraction form
    109,666.30/164,499.45 = 81,672.70/x
  3. Step 3: Cross multiply
    109,666.30x = 164,499.45 × 81,672.70
  4. Step 4: Simplify right side
    109,666.30x = 13,435,114,230.02
  5. Step 5: Solve for x
    x = 13,435,114,230.02/109,666.30
  6. Step 6: Final answer
    x = 122,509.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.