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Finding the Fourth Proportional to 212,648.38, 293,257.64 and 155,196.70

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Solution

The fourth proportional to 212,648.38, 293,257.64 and 155,196.70 is: 214,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,648.38 : 293,257.64 = 155,196.70 : x
  2. Step 2: Convert to fraction form
    212,648.38/293,257.64 = 155,196.70/x
  3. Step 3: Cross multiply
    212,648.38x = 293,257.64 × 155,196.70
  4. Step 4: Simplify right side
    212,648.38x = 45,512,617,977.79
  5. Step 5: Solve for x
    x = 45,512,617,977.79/212,648.38
  6. Step 6: Final answer
    x = 214,027.58

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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.