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Finding the Fourth Proportional to 264,715.16, 396,849.68 and 114,842.68

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Solution

The fourth proportional to 264,715.16, 396,849.68 and 114,842.68 is: 172,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,715.16 : 396,849.68 = 114,842.68 : x
  2. Step 2: Convert to fraction form
    264,715.16/396,849.68 = 114,842.68/x
  3. Step 3: Cross multiply
    264,715.16x = 396,849.68 × 114,842.68
  4. Step 4: Simplify right side
    264,715.16x = 45,575,279,672.66
  5. Step 5: Solve for x
    x = 45,575,279,672.66/264,715.16
  6. Step 6: Final answer
    x = 172,167.25

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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.