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Finding the Fourth Proportional to 133,025.90, 199,538.85 and 109,406.30

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Solution

The fourth proportional to 133,025.90, 199,538.85 and 109,406.30 is: 164,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025.90 : 199,538.85 = 109,406.30 : x
  2. Step 2: Convert to fraction form
    133,025.90/199,538.85 = 109,406.30/x
  3. Step 3: Cross multiply
    133,025.90x = 199,538.85 × 109,406.30
  4. Step 4: Simplify right side
    133,025.90x = 21,830,807,284.76
  5. Step 5: Solve for x
    x = 21,830,807,284.76/133,025.90
  6. Step 6: Final answer
    x = 164,109.45

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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.