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Finding the Fourth Proportional to 137,506.13, 206,259.35 and 37,667.18

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Solution

The fourth proportional to 137,506.13, 206,259.35 and 37,667.18 is: 56,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,506.13 : 206,259.35 = 37,667.18 : x
  2. Step 2: Convert to fraction form
    137,506.13/206,259.35 = 37,667.18/x
  3. Step 3: Cross multiply
    137,506.13x = 206,259.35 × 37,667.18
  4. Step 4: Simplify right side
    137,506.13x = 7,769,208,063.13
  5. Step 5: Solve for x
    x = 7,769,208,063.13/137,506.13
  6. Step 6: Final answer
    x = 56,500.81

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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.