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Finding the Fourth Proportional to 137,533.74, 206,302.44 and 44,039.50

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Solution

The fourth proportional to 137,533.74, 206,302.44 and 44,039.50 is: 66,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,533.74 : 206,302.44 = 44,039.50 : x
  2. Step 2: Convert to fraction form
    137,533.74/206,302.44 = 44,039.50/x
  3. Step 3: Cross multiply
    137,533.74x = 206,302.44 × 44,039.50
  4. Step 4: Simplify right side
    137,533.74x = 9,085,456,306.38
  5. Step 5: Solve for x
    x = 9,085,456,306.38/137,533.74
  6. Step 6: Final answer
    x = 66,059.84

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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.