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Finding the Fourth Proportional to 209,472.48, 314,161.36 and 59,709.56

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Solution

The fourth proportional to 209,472.48, 314,161.36 and 59,709.56 is: 89,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,472.48 : 314,161.36 = 59,709.56 : x
  2. Step 2: Convert to fraction form
    209,472.48/314,161.36 = 59,709.56/x
  3. Step 3: Cross multiply
    209,472.48x = 314,161.36 × 59,709.56
  4. Step 4: Simplify right side
    209,472.48x = 18,758,436,574.60
  5. Step 5: Solve for x
    x = 18,758,436,574.60/209,472.48
  6. Step 6: Final answer
    x = 89,550.84

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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.