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Finding the Fourth Proportional to 228,782.18, 343,227.74 and 79,023.71

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Solution

The fourth proportional to 228,782.18, 343,227.74 and 79,023.71 is: 118,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,782.18 : 343,227.74 = 79,023.71 : x
  2. Step 2: Convert to fraction form
    228,782.18/343,227.74 = 79,023.71/x
  3. Step 3: Cross multiply
    228,782.18x = 343,227.74 × 79,023.71
  4. Step 4: Simplify right side
    228,782.18x = 27,123,127,278.46
  5. Step 5: Solve for x
    x = 27,123,127,278.46/228,782.18
  6. Step 6: Final answer
    x = 118,554.37

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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.