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Finding the Fourth Proportional to 109,219.30, 163,829.01 and 30,333.52

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Solution

The fourth proportional to 109,219.30, 163,829.01 and 30,333.52 is: 45,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,219.30 : 163,829.01 = 30,333.52 : x
  2. Step 2: Convert to fraction form
    109,219.30/163,829.01 = 30,333.52/x
  3. Step 3: Cross multiply
    109,219.30x = 163,829.01 × 30,333.52
  4. Step 4: Simplify right side
    109,219.30x = 4,969,510,551.42
  5. Step 5: Solve for x
    x = 4,969,510,551.42/109,219.30
  6. Step 6: Final answer
    x = 45,500.30

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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.