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Finding the Fourth Proportional to 209,537.93, 314,336.37 and 67,335.59

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Solution

The fourth proportional to 209,537.93, 314,336.37 and 67,335.59 is: 101,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,537.93 : 314,336.37 = 67,335.59 : x
  2. Step 2: Convert to fraction form
    209,537.93/314,336.37 = 67,335.59/x
  3. Step 3: Cross multiply
    209,537.93x = 314,336.37 × 67,335.59
  4. Step 4: Simplify right side
    209,537.93x = 21,166,024,932.41
  5. Step 5: Solve for x
    x = 21,166,024,932.41/209,537.93
  6. Step 6: Final answer
    x = 101,012.86

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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.