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Finding the Fourth Proportional to 137,372.79, 206,057.14 and 37,532.80

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Solution

The fourth proportional to 137,372.79, 206,057.14 and 37,532.80 is: 56,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,372.79 : 206,057.14 = 37,532.80 : x
  2. Step 2: Convert to fraction form
    137,372.79/206,057.14 = 37,532.80/x
  3. Step 3: Cross multiply
    137,372.79x = 206,057.14 × 37,532.80
  4. Step 4: Simplify right side
    137,372.79x = 7,733,901,424.19
  5. Step 5: Solve for x
    x = 7,733,901,424.19/137,372.79
  6. Step 6: Final answer
    x = 56,298.64

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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.