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Finding the Fourth Proportional to 137,650.19, 206,475.08 and 37,810.80

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Solution

The fourth proportional to 137,650.19, 206,475.08 and 37,810.80 is: 56,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,650.19 : 206,475.08 = 37,810.80 : x
  2. Step 2: Convert to fraction form
    137,650.19/206,475.08 = 37,810.80/x
  3. Step 3: Cross multiply
    137,650.19x = 206,475.08 × 37,810.80
  4. Step 4: Simplify right side
    137,650.19x = 7,806,987,765.81
  5. Step 5: Solve for x
    x = 7,806,987,765.81/137,650.19
  6. Step 6: Final answer
    x = 56,716.14

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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.