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Finding the Fourth Proportional to 147,135.94, 220,702.37 and 97,438.39

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Solution

The fourth proportional to 147,135.94, 220,702.37 and 97,438.39 is: 146,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,135.94 : 220,702.37 = 97,438.39 : x
  2. Step 2: Convert to fraction form
    147,135.94/220,702.37 = 97,438.39/x
  3. Step 3: Cross multiply
    147,135.94x = 220,702.37 × 97,438.39
  4. Step 4: Simplify right side
    147,135.94x = 21,504,882,976.85
  5. Step 5: Solve for x
    x = 21,504,882,976.85/147,135.94
  6. Step 6: Final answer
    x = 146,156.56

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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.