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Finding the Fourth Proportional to 137,524.72, 206,287.16 and 37,685.76

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Solution

The fourth proportional to 137,524.72, 206,287.16 and 37,685.76 is: 56,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,524.72 : 206,287.16 = 37,685.76 : x
  2. Step 2: Convert to fraction form
    137,524.72/206,287.16 = 37,685.76/x
  3. Step 3: Cross multiply
    137,524.72x = 206,287.16 × 37,685.76
  4. Step 4: Simplify right side
    137,524.72x = 7,774,088,402.84
  5. Step 5: Solve for x
    x = 7,774,088,402.84/137,524.72
  6. Step 6: Final answer
    x = 56,528.66

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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.