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Finding the Fourth Proportional to 137,509.84, 206,264.94 and 37,670.91

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Solution

The fourth proportional to 137,509.84, 206,264.94 and 37,670.91 is: 56,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.84 : 206,264.94 = 37,670.91 : x
  2. Step 2: Convert to fraction form
    137,509.84/206,264.94 = 37,670.91/x
  3. Step 3: Cross multiply
    137,509.84x = 206,264.94 × 37,670.91
  4. Step 4: Simplify right side
    137,509.84x = 7,770,187,990.90
  5. Step 5: Solve for x
    x = 7,770,187,990.90/137,509.84
  6. Step 6: Final answer
    x = 56,506.41

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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.