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Finding the Fourth Proportional to 137,360.82, 205,773.92 and 101,271.54

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Solution

The fourth proportional to 137,360.82, 205,773.92 and 101,271.54 is: 151,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,360.82 : 205,773.92 = 101,271.54 : x
  2. Step 2: Convert to fraction form
    137,360.82/205,773.92 = 101,271.54/x
  3. Step 3: Cross multiply
    137,360.82x = 205,773.92 × 101,271.54
  4. Step 4: Simplify right side
    137,360.82x = 20,839,041,770.24
  5. Step 5: Solve for x
    x = 20,839,041,770.24/137,360.82
  6. Step 6: Final answer
    x = 151,710.23

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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.