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Finding the Fourth Proportional to 137,506.19, 206,259.45 and 37,667.24

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Solution

The fourth proportional to 137,506.19, 206,259.45 and 37,667.24 is: 56,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,506.19 : 206,259.45 = 37,667.24 : x
  2. Step 2: Convert to fraction form
    137,506.19/206,259.45 = 37,667.24/x
  3. Step 3: Cross multiply
    137,506.19x = 206,259.45 × 37,667.24
  4. Step 4: Simplify right side
    137,506.19x = 7,769,224,017.08
  5. Step 5: Solve for x
    x = 7,769,224,017.08/137,506.19
  6. Step 6: Final answer
    x = 56,500.91

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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.