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Finding the Fourth Proportional to 156,870.40, 235,046.40 and 133,542.40

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Solution

The fourth proportional to 156,870.40, 235,046.40 and 133,542.40 is: 200,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,870.40 : 235,046.40 = 133,542.40 : x
  2. Step 2: Convert to fraction form
    156,870.40/235,046.40 = 133,542.40/x
  3. Step 3: Cross multiply
    156,870.40x = 235,046.40 × 133,542.40
  4. Step 4: Simplify right side
    156,870.40x = 31,388,660,367.36
  5. Step 5: Solve for x
    x = 31,388,660,367.36/156,870.40
  6. Step 6: Final answer
    x = 200,092.95

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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.