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Finding the Fourth Proportional to 137,502, 189,608.84 and 101,766.96

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Solution

The fourth proportional to 137,502, 189,608.84 and 101,766.96 is: 140,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,502 : 189,608.84 = 101,766.96 : x
  2. Step 2: Convert to fraction form
    137,502/189,608.84 = 101,766.96/x
  3. Step 3: Cross multiply
    137,502x = 189,608.84 × 101,766.96
  4. Step 4: Simplify right side
    137,502x = 19,295,915,235.93
  5. Step 5: Solve for x
    x = 19,295,915,235.93/137,502
  6. Step 6: Final answer
    x = 140,331.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.