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Finding the Fourth Proportional to 264,372.98, 364,836.85 and 146,501.88

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Solution

The fourth proportional to 264,372.98, 364,836.85 and 146,501.88 is: 202,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,372.98 : 364,836.85 = 146,501.88 : x
  2. Step 2: Convert to fraction form
    264,372.98/364,836.85 = 146,501.88/x
  3. Step 3: Cross multiply
    264,372.98x = 364,836.85 × 146,501.88
  4. Step 4: Simplify right side
    264,372.98x = 53,449,284,597.86
  5. Step 5: Solve for x
    x = 53,449,284,597.86/264,372.98
  6. Step 6: Final answer
    x = 202,173.78

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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.