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Finding the Fourth Proportional to 159,012.66, 238,530.03 and 53,796.06

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Solution

The fourth proportional to 159,012.66, 238,530.03 and 53,796.06 is: 80,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,012.66 : 238,530.03 = 53,796.06 : x
  2. Step 2: Convert to fraction form
    159,012.66/238,530.03 = 53,796.06/x
  3. Step 3: Cross multiply
    159,012.66x = 238,530.03 × 53,796.06
  4. Step 4: Simplify right side
    159,012.66x = 12,831,975,805.68
  5. Step 5: Solve for x
    x = 12,831,975,805.68/159,012.66
  6. Step 6: Final answer
    x = 80,697.82

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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.