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Finding the Fourth Proportional to 259,362.72, 357,915.60 and 146,183.20

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Solution

The fourth proportional to 259,362.72, 357,915.60 and 146,183.20 is: 201,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,362.72 : 357,915.60 = 146,183.20 : x
  2. Step 2: Convert to fraction form
    259,362.72/357,915.60 = 146,183.20/x
  3. Step 3: Cross multiply
    259,362.72x = 357,915.60 × 146,183.20
  4. Step 4: Simplify right side
    259,362.72x = 52,321,247,737.92
  5. Step 5: Solve for x
    x = 52,321,247,737.92/259,362.72
  6. Step 6: Final answer
    x = 201,730.02

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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.