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Finding the Fourth Proportional to 109,209.30, 163,814.04 and 30,323.52

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Solution

The fourth proportional to 109,209.30, 163,814.04 and 30,323.52 is: 45,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,209.30 : 163,814.04 = 30,323.52 : x
  2. Step 2: Convert to fraction form
    109,209.30/163,814.04 = 30,323.52/x
  3. Step 3: Cross multiply
    109,209.30x = 163,814.04 × 30,323.52
  4. Step 4: Simplify right side
    109,209.30x = 4,967,418,318.22
  5. Step 5: Solve for x
    x = 4,967,418,318.22/109,209.30
  6. Step 6: Final answer
    x = 45,485.30

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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.