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Finding the Fourth Proportional to 264,889.86, 365,653.89 and 162,956.63

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Solution

The fourth proportional to 264,889.86, 365,653.89 and 162,956.63 is: 224,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,889.86 : 365,653.89 = 162,956.63 : x
  2. Step 2: Convert to fraction form
    264,889.86/365,653.89 = 162,956.63/x
  3. Step 3: Cross multiply
    264,889.86x = 365,653.89 × 162,956.63
  4. Step 4: Simplify right side
    264,889.86x = 59,585,723,832.52
  5. Step 5: Solve for x
    x = 59,585,723,832.52/264,889.86
  6. Step 6: Final answer
    x = 224,945.28

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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.