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Finding the Fourth Proportional to 156,912.15, 235,109.03 and 133,584.15

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Solution

The fourth proportional to 156,912.15, 235,109.03 and 133,584.15 is: 200,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912.15 : 235,109.03 = 133,584.15 : x
  2. Step 2: Convert to fraction form
    156,912.15/235,109.03 = 133,584.15/x
  3. Step 3: Cross multiply
    156,912.15x = 235,109.03 × 133,584.15
  4. Step 4: Simplify right side
    156,912.15x = 31,406,839,261.95
  5. Step 5: Solve for x
    x = 31,406,839,261.95/156,912.15
  6. Step 6: Final answer
    x = 200,155.56

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Why These Related Problems?

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