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Finding the Fourth Proportional to 156,969.40, 235,194.90 and 133,641.40

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Solution

The fourth proportional to 156,969.40, 235,194.90 and 133,641.40 is: 200,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969.40 : 235,194.90 = 133,641.40 : x
  2. Step 2: Convert to fraction form
    156,969.40/235,194.90 = 133,641.40/x
  3. Step 3: Cross multiply
    156,969.40x = 235,194.90 × 133,641.40
  4. Step 4: Simplify right side
    156,969.40x = 31,431,775,708.86
  5. Step 5: Solve for x
    x = 31,431,775,708.86/156,969.40
  6. Step 6: Final answer
    x = 200,241.42

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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.