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Finding the Fourth Proportional to 264,665.72, 396,775.40 and 114,793.13

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Solution

The fourth proportional to 264,665.72, 396,775.40 and 114,793.13 is: 172,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,665.72 : 396,775.40 = 114,793.13 : x
  2. Step 2: Convert to fraction form
    264,665.72/396,775.40 = 114,793.13/x
  3. Step 3: Cross multiply
    264,665.72x = 396,775.40 × 114,793.13
  4. Step 4: Simplify right side
    264,665.72x = 45,547,087,515.16
  5. Step 5: Solve for x
    x = 45,547,087,515.16/264,665.72
  6. Step 6: Final answer
    x = 172,092.89

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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.