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Finding the Fourth Proportional to 137,783.34, 206,721 and 53,546.18

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Solution

The fourth proportional to 137,783.34, 206,721 and 53,546.18 is: 80,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.34 : 206,721 = 53,546.18 : x
  2. Step 2: Convert to fraction form
    137,783.34/206,721 = 53,546.18/x
  3. Step 3: Cross multiply
    137,783.34x = 206,721 × 53,546.18
  4. Step 4: Simplify right side
    137,783.34x = 11,069,118,842.18
  5. Step 5: Solve for x
    x = 11,069,118,842.18/137,783.34
  6. Step 6: Final answer
    x = 80,337.14

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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.