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Finding the Fourth Proportional to 289,059.64, 433,713.50 and 111,691.20

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Solution

The fourth proportional to 289,059.64, 433,713.50 and 111,691.20 is: 167,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,059.64 : 433,713.50 = 111,691.20 : x
  2. Step 2: Convert to fraction form
    289,059.64/433,713.50 = 111,691.20/x
  3. Step 3: Cross multiply
    289,059.64x = 433,713.50 × 111,691.20
  4. Step 4: Simplify right side
    289,059.64x = 48,441,982,758.01
  5. Step 5: Solve for x
    x = 48,441,982,758.01/289,059.64
  6. Step 6: Final answer
    x = 167,584.74

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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.