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Finding the Fourth Proportional to 264,102.59, 364,602.78 and 206,619.72

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Solution

The fourth proportional to 264,102.59, 364,602.78 and 206,619.72 is: 285,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102.59 : 364,602.78 = 206,619.72 : x
  2. Step 2: Convert to fraction form
    264,102.59/364,602.78 = 206,619.72/x
  3. Step 3: Cross multiply
    264,102.59x = 364,602.78 × 206,619.72
  4. Step 4: Simplify right side
    264,102.59x = 75,334,124,314.82
  5. Step 5: Solve for x
    x = 75,334,124,314.82/264,102.59
  6. Step 6: Final answer
    x = 285,245.69

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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.