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Finding the Fourth Proportional to 209,504.93, 314,286.91 and 67,302.52

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Solution

The fourth proportional to 209,504.93, 314,286.91 and 67,302.52 is: 100,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504.93 : 314,286.91 = 67,302.52 : x
  2. Step 2: Convert to fraction form
    209,504.93/314,286.91 = 67,302.52/x
  3. Step 3: Cross multiply
    209,504.93x = 314,286.91 × 67,302.52
  4. Step 4: Simplify right side
    209,504.93x = 21,152,300,092.04
  5. Step 5: Solve for x
    x = 21,152,300,092.04/209,504.93
  6. Step 6: Final answer
    x = 100,963.26

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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.