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Finding the Fourth Proportional to 209,570.80, 314,331.90 and 59,834.20

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Solution

The fourth proportional to 209,570.80, 314,331.90 and 59,834.20 is: 89,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,570.80 : 314,331.90 = 59,834.20 : x
  2. Step 2: Convert to fraction form
    209,570.80/314,331.90 = 59,834.20/x
  3. Step 3: Cross multiply
    209,570.80x = 314,331.90 × 59,834.20
  4. Step 4: Simplify right side
    209,570.80x = 18,807,797,770.98
  5. Step 5: Solve for x
    x = 18,807,797,770.98/209,570.80
  6. Step 6: Final answer
    x = 89,744.36

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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.