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Finding the Fourth Proportional to 178,471.49, 246,256.54 and 102,014.80

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Solution

The fourth proportional to 178,471.49, 246,256.54 and 102,014.80 is: 140,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,471.49 : 246,256.54 = 102,014.80 : x
  2. Step 2: Convert to fraction form
    178,471.49/246,256.54 = 102,014.80/x
  3. Step 3: Cross multiply
    178,471.49x = 246,256.54 × 102,014.80
  4. Step 4: Simplify right side
    178,471.49x = 25,121,810,806.11
  5. Step 5: Solve for x
    x = 25,121,810,806.11/178,471.49
  6. Step 6: Final answer
    x = 140,760.92

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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.