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Finding the Fourth Proportional to 137,509.93, 206,265.05 and 37,670.98

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Solution

The fourth proportional to 137,509.93, 206,265.05 and 37,670.98 is: 56,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.93 : 206,265.05 = 37,670.98 : x
  2. Step 2: Convert to fraction form
    137,509.93/206,265.05 = 37,670.98/x
  3. Step 3: Cross multiply
    137,509.93x = 206,265.05 × 37,670.98
  4. Step 4: Simplify right side
    137,509.93x = 7,770,205,353.57
  5. Step 5: Solve for x
    x = 7,770,205,353.57/137,509.93
  6. Step 6: Final answer
    x = 56,506.51

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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.