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Finding the Fourth Proportional to 213,873, 295,222.62 and 124,449

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Solution

The fourth proportional to 213,873, 295,222.62 and 124,449 is: 171,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,873 : 295,222.62 = 124,449 : x
  2. Step 2: Convert to fraction form
    213,873/295,222.62 = 124,449/x
  3. Step 3: Cross multiply
    213,873x = 295,222.62 × 124,449
  4. Step 4: Simplify right side
    213,873x = 36,740,159,836.38
  5. Step 5: Solve for x
    x = 36,740,159,836.38/213,873
  6. Step 6: Final answer
    x = 171,784.94

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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.