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Finding the Fourth Proportional to 224,201.78, 309,400.57 and 123,603.38

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Solution

The fourth proportional to 224,201.78, 309,400.57 and 123,603.38 is: 170,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,201.78 : 309,400.57 = 123,603.38 : x
  2. Step 2: Convert to fraction form
    224,201.78/309,400.57 = 123,603.38/x
  3. Step 3: Cross multiply
    224,201.78x = 309,400.57 × 123,603.38
  4. Step 4: Simplify right side
    224,201.78x = 38,242,956,225.93
  5. Step 5: Solve for x
    x = 38,242,956,225.93/224,201.78
  6. Step 6: Final answer
    x = 170,573.83

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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.