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Finding the Fourth Proportional to 137,513.34, 206,270.20 and 37,674.40

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Solution

The fourth proportional to 137,513.34, 206,270.20 and 37,674.40 is: 56,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,513.34 : 206,270.20 = 37,674.40 : x
  2. Step 2: Convert to fraction form
    137,513.34/206,270.20 = 37,674.40/x
  3. Step 3: Cross multiply
    137,513.34x = 206,270.20 × 37,674.40
  4. Step 4: Simplify right side
    137,513.34x = 7,771,106,022.88
  5. Step 5: Solve for x
    x = 7,771,106,022.88/137,513.34
  6. Step 6: Final answer
    x = 56,511.65

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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.