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Finding the Fourth Proportional to 178,686.53, 246,539.22 and 102,189.81

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Solution

The fourth proportional to 178,686.53, 246,539.22 and 102,189.81 is: 140,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,686.53 : 246,539.22 = 102,189.81 : x
  2. Step 2: Convert to fraction form
    178,686.53/246,539.22 = 102,189.81/x
  3. Step 3: Cross multiply
    178,686.53x = 246,539.22 × 102,189.81
  4. Step 4: Simplify right side
    178,686.53x = 25,193,796,049.35
  5. Step 5: Solve for x
    x = 25,193,796,049.35/178,686.53
  6. Step 6: Final answer
    x = 140,994.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.