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Finding the Fourth Proportional to 224,454, 309,753 and 123,858.48

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Solution

The fourth proportional to 224,454, 309,753 and 123,858.48 is: 170,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454 : 309,753 = 123,858.48 : x
  2. Step 2: Convert to fraction form
    224,454/309,753 = 123,858.48/x
  3. Step 3: Cross multiply
    224,454x = 309,753 × 123,858.48
  4. Step 4: Simplify right side
    224,454x = 38,365,535,755.44
  5. Step 5: Solve for x
    x = 38,365,535,755.44/224,454
  6. Step 6: Final answer
    x = 170,928.28

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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.