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Finding the Fourth Proportional to 137,200.41, 205,847.33 and 74,026.53

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Solution

The fourth proportional to 137,200.41, 205,847.33 and 74,026.53 is: 111,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200.41 : 205,847.33 = 74,026.53 : x
  2. Step 2: Convert to fraction form
    137,200.41/205,847.33 = 74,026.53/x
  3. Step 3: Cross multiply
    137,200.41x = 205,847.33 × 74,026.53
  4. Step 4: Simplify right side
    137,200.41x = 15,238,163,179.53
  5. Step 5: Solve for x
    x = 15,238,163,179.53/137,200.41
  6. Step 6: Final answer
    x = 111,065.00

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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.