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Finding the Fourth Proportional to 178,793.10, 246,784.14 and 102,355.02

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Solution

The fourth proportional to 178,793.10, 246,784.14 and 102,355.02 is: 141,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,793.10 : 246,784.14 = 102,355.02 : x
  2. Step 2: Convert to fraction form
    178,793.10/246,784.14 = 102,355.02/x
  3. Step 3: Cross multiply
    178,793.10x = 246,784.14 × 102,355.02
  4. Step 4: Simplify right side
    178,793.10x = 25,259,595,585.38
  5. Step 5: Solve for x
    x = 25,259,595,585.38/178,793.10
  6. Step 6: Final answer
    x = 141,278.36

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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.