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Finding the Fourth Proportional to 208,097.30, 312,026.72 and 63,965.59

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Solution

The fourth proportional to 208,097.30, 312,026.72 and 63,965.59 is: 95,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097.30 : 312,026.72 = 63,965.59 : x
  2. Step 2: Convert to fraction form
    208,097.30/312,026.72 = 63,965.59/x
  3. Step 3: Cross multiply
    208,097.30x = 312,026.72 × 63,965.59
  4. Step 4: Simplify right side
    208,097.30x = 19,958,973,240.56
  5. Step 5: Solve for x
    x = 19,958,973,240.56/208,097.30
  6. Step 6: Final answer
    x = 95,911.74

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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.