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Finding the Fourth Proportional to 208,773.09, 313,198.65 and 94,929.26

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Solution

The fourth proportional to 208,773.09, 313,198.65 and 94,929.26 is: 142,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,773.09 : 313,198.65 = 94,929.26 : x
  2. Step 2: Convert to fraction form
    208,773.09/313,198.65 = 94,929.26/x
  3. Step 3: Cross multiply
    208,773.09x = 313,198.65 × 94,929.26
  4. Step 4: Simplify right side
    208,773.09x = 29,731,716,077.50
  5. Step 5: Solve for x
    x = 29,731,716,077.50/208,773.09
  6. Step 6: Final answer
    x = 142,411.63

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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.