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Finding the Fourth Proportional to 209,128.74, 313,692.48 and 59,369.16

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Solution

The fourth proportional to 209,128.74, 313,692.48 and 59,369.16 is: 89,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,128.74 : 313,692.48 = 59,369.16 : x
  2. Step 2: Convert to fraction form
    209,128.74/313,692.48 = 59,369.16/x
  3. Step 3: Cross multiply
    209,128.74x = 313,692.48 × 59,369.16
  4. Step 4: Simplify right side
    209,128.74x = 18,623,659,035.92
  5. Step 5: Solve for x
    x = 18,623,659,035.92/209,128.74
  6. Step 6: Final answer
    x = 89,053.56

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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.