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Finding the Fourth Proportional to 137,506.02, 206,259.21 and 37,667.09

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Solution

The fourth proportional to 137,506.02, 206,259.21 and 37,667.09 is: 56,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,506.02 : 206,259.21 = 37,667.09 : x
  2. Step 2: Convert to fraction form
    137,506.02/206,259.21 = 37,667.09/x
  3. Step 3: Cross multiply
    137,506.02x = 206,259.21 × 37,667.09
  4. Step 4: Simplify right side
    137,506.02x = 7,769,184,742.05
  5. Step 5: Solve for x
    x = 7,769,184,742.05/137,506.02
  6. Step 6: Final answer
    x = 56,500.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.