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Finding the Fourth Proportional to 178,362.86, 246,140.44 and 97,793.24

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Solution

The fourth proportional to 178,362.86, 246,140.44 and 97,793.24 is: 134,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362.86 : 246,140.44 = 97,793.24 : x
  2. Step 2: Convert to fraction form
    178,362.86/246,140.44 = 97,793.24/x
  3. Step 3: Cross multiply
    178,362.86x = 246,140.44 × 97,793.24
  4. Step 4: Simplify right side
    178,362.86x = 24,070,869,647.44
  5. Step 5: Solve for x
    x = 24,070,869,647.44/178,362.86
  6. Step 6: Final answer
    x = 134,954.50

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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.