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Finding the Fourth Proportional to 137,681.85, 206,527.83 and 37,849.86

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Solution

The fourth proportional to 137,681.85, 206,527.83 and 37,849.86 is: 56,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,681.85 : 206,527.83 = 37,849.86 : x
  2. Step 2: Convert to fraction form
    137,681.85/206,527.83 = 37,849.86/x
  3. Step 3: Cross multiply
    137,681.85x = 206,527.83 × 37,849.86
  4. Step 4: Simplify right side
    137,681.85x = 7,817,049,451.60
  5. Step 5: Solve for x
    x = 7,817,049,451.60/137,681.85
  6. Step 6: Final answer
    x = 56,776.18

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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.