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Finding the Fourth Proportional to 178,521.76, 246,362.64 and 102,056.80

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Solution

The fourth proportional to 178,521.76, 246,362.64 and 102,056.80 is: 140,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,521.76 : 246,362.64 = 102,056.80 : x
  2. Step 2: Convert to fraction form
    178,521.76/246,362.64 = 102,056.80/x
  3. Step 3: Cross multiply
    178,521.76x = 246,362.64 × 102,056.80
  4. Step 4: Simplify right side
    178,521.76x = 25,142,982,677.95
  5. Step 5: Solve for x
    x = 25,142,982,677.95/178,521.76
  6. Step 6: Final answer
    x = 140,839.88

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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.