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Finding the Fourth Proportional to 209,531.00, 313,796.23 and 120,597.56

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Solution

The fourth proportional to 209,531.00, 313,796.23 and 120,597.56 is: 180,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,531.00 : 313,796.23 = 120,597.56 : x
  2. Step 2: Convert to fraction form
    209,531.00/313,796.23 = 120,597.56/x
  3. Step 3: Cross multiply
    209,531.00x = 313,796.23 × 120,597.56
  4. Step 4: Simplify right side
    209,531.00x = 37,843,058,981.46
  5. Step 5: Solve for x
    x = 37,843,058,981.46/209,531.00
  6. Step 6: Final answer
    x = 180,608.40

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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.