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Finding the Fourth Proportional to 137,405.19, 206,108.25 and 48,661.29

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Solution

The fourth proportional to 137,405.19, 206,108.25 and 48,661.29 is: 72,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,405.19 : 206,108.25 = 48,661.29 : x
  2. Step 2: Convert to fraction form
    137,405.19/206,108.25 = 48,661.29/x
  3. Step 3: Cross multiply
    137,405.19x = 206,108.25 × 48,661.29
  4. Step 4: Simplify right side
    137,405.19x = 10,029,493,142.16
  5. Step 5: Solve for x
    x = 10,029,493,142.16/137,405.19
  6. Step 6: Final answer
    x = 72,992.10

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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.