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Finding the Fourth Proportional to 156,963.40, 235,185.90 and 133,635.40

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Solution

The fourth proportional to 156,963.40, 235,185.90 and 133,635.40 is: 200,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963.40 : 235,185.90 = 133,635.40 : x
  2. Step 2: Convert to fraction form
    156,963.40/235,185.90 = 133,635.40/x
  3. Step 3: Cross multiply
    156,963.40x = 235,185.90 × 133,635.40
  4. Step 4: Simplify right side
    156,963.40x = 31,429,161,820.86
  5. Step 5: Solve for x
    x = 31,429,161,820.86/156,963.40
  6. Step 6: Final answer
    x = 200,232.42

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1.5x scale

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.