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Finding the Fourth Proportional to 209,439.25, 314,290.11 and 84,780.25

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Solution

The fourth proportional to 209,439.25, 314,290.11 and 84,780.25 is: 127,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,439.25 : 314,290.11 = 84,780.25 : x
  2. Step 2: Convert to fraction form
    209,439.25/314,290.11 = 84,780.25/x
  3. Step 3: Cross multiply
    209,439.25x = 314,290.11 × 84,780.25
  4. Step 4: Simplify right side
    209,439.25x = 26,645,594,098.33
  5. Step 5: Solve for x
    x = 26,645,594,098.33/209,439.25
  6. Step 6: Final answer
    x = 127,223.50

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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.