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Finding the Fourth Proportional to 209,367.99, 314,135.96 and 76,257.45

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Solution

The fourth proportional to 209,367.99, 314,135.96 and 76,257.45 is: 114,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,367.99 : 314,135.96 = 76,257.45 : x
  2. Step 2: Convert to fraction form
    209,367.99/314,135.96 = 76,257.45/x
  3. Step 3: Cross multiply
    209,367.99x = 314,135.96 × 76,257.45
  4. Step 4: Simplify right side
    209,367.99x = 23,955,206,881.61
  5. Step 5: Solve for x
    x = 23,955,206,881.61/209,367.99
  6. Step 6: Final answer
    x = 114,416.76

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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.