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Finding the Fourth Proportional to 137,786.34, 206,725.50 and 53,549.19

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Solution

The fourth proportional to 137,786.34, 206,725.50 and 53,549.19 is: 80,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,786.34 : 206,725.50 = 53,549.19 : x
  2. Step 2: Convert to fraction form
    137,786.34/206,725.50 = 53,549.19/x
  3. Step 3: Cross multiply
    137,786.34x = 206,725.50 × 53,549.19
  4. Step 4: Simplify right side
    137,786.34x = 11,069,983,077.35
  5. Step 5: Solve for x
    x = 11,069,983,077.35/137,786.34
  6. Step 6: Final answer
    x = 80,341.66

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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.