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Finding the Fourth Proportional to 156,957.50, 235,436.26 and 40,221.50

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Solution

The fourth proportional to 156,957.50, 235,436.26 and 40,221.50 is: 60,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957.50 : 235,436.26 = 40,221.50 : x
  2. Step 2: Convert to fraction form
    156,957.50/235,436.26 = 40,221.50/x
  3. Step 3: Cross multiply
    156,957.50x = 235,436.26 × 40,221.50
  4. Step 4: Simplify right side
    156,957.50x = 9,469,599,531.59
  5. Step 5: Solve for x
    x = 9,469,599,531.59/156,957.50
  6. Step 6: Final answer
    x = 60,332.25

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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.