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Finding the Fourth Proportional to 137,507.50, 206,261.43 and 37,668.57

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Solution

The fourth proportional to 137,507.50, 206,261.43 and 37,668.57 is: 56,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,507.50 : 206,261.43 = 37,668.57 : x
  2. Step 2: Convert to fraction form
    137,507.50/206,261.43 = 37,668.57/x
  3. Step 3: Cross multiply
    137,507.50x = 206,261.43 × 37,668.57
  4. Step 4: Simplify right side
    137,507.50x = 7,769,572,199.52
  5. Step 5: Solve for x
    x = 7,769,572,199.52/137,507.50
  6. Step 6: Final answer
    x = 56,502.90

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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.