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Finding the Fourth Proportional to 209,355.76, 314,137.53 and 82,993.33

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Solution

The fourth proportional to 209,355.76, 314,137.53 and 82,993.33 is: 124,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,355.76 : 314,137.53 = 82,993.33 : x
  2. Step 2: Convert to fraction form
    209,355.76/314,137.53 = 82,993.33/x
  3. Step 3: Cross multiply
    209,355.76x = 314,137.53 × 82,993.33
  4. Step 4: Simplify right side
    209,355.76x = 26,071,319,692.67
  5. Step 5: Solve for x
    x = 26,071,319,692.67/209,355.76
  6. Step 6: Final answer
    x = 124,531.18

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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.