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Finding the Fourth Proportional to 264,650.96, 396,975.80 and 114,871.82

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Solution

The fourth proportional to 264,650.96, 396,975.80 and 114,871.82 is: 172,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,650.96 : 396,975.80 = 114,871.82 : x
  2. Step 2: Convert to fraction form
    264,650.96/396,975.80 = 114,871.82/x
  3. Step 3: Cross multiply
    264,650.96x = 396,975.80 × 114,871.82
  4. Step 4: Simplify right side
    264,650.96x = 45,601,332,641.96
  5. Step 5: Solve for x
    x = 45,601,332,641.96/264,650.96
  6. Step 6: Final answer
    x = 172,307.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.