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Finding the Fourth Proportional to 224,111.88, 309,266.55 and 122,135.27

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Solution

The fourth proportional to 224,111.88, 309,266.55 and 122,135.27 is: 168,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,111.88 : 309,266.55 = 122,135.27 : x
  2. Step 2: Convert to fraction form
    224,111.88/309,266.55 = 122,135.27/x
  3. Step 3: Cross multiply
    224,111.88x = 309,266.55 × 122,135.27
  4. Step 4: Simplify right side
    224,111.88x = 37,772,352,039.89
  5. Step 5: Solve for x
    x = 37,772,352,039.89/224,111.88
  6. Step 6: Final answer
    x = 168,542.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.