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Finding the Fourth Proportional to 264,447.12, 364,846.91 and 169,008.87

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Solution

The fourth proportional to 264,447.12, 364,846.91 and 169,008.87 is: 233,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,447.12 : 364,846.91 = 169,008.87 : x
  2. Step 2: Convert to fraction form
    264,447.12/364,846.91 = 169,008.87/x
  3. Step 3: Cross multiply
    264,447.12x = 364,846.91 × 169,008.87
  4. Step 4: Simplify right side
    264,447.12x = 61,662,363,137.05
  5. Step 5: Solve for x
    x = 61,662,363,137.05/264,447.12
  6. Step 6: Final answer
    x = 233,174.64

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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.