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Finding the Fourth Proportional to 212,596.38, 293,208.48 and 155,171.16

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Solution

The fourth proportional to 212,596.38, 293,208.48 and 155,171.16 is: 214,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,596.38 : 293,208.48 = 155,171.16 : x
  2. Step 2: Convert to fraction form
    212,596.38/293,208.48 = 155,171.16/x
  3. Step 3: Cross multiply
    212,596.38x = 293,208.48 × 155,171.16
  4. Step 4: Simplify right side
    212,596.38x = 45,497,499,963.44
  5. Step 5: Solve for x
    x = 45,497,499,963.44/212,596.38
  6. Step 6: Final answer
    x = 214,008.82

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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.