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Finding the Fourth Proportional to 212,922.60, 319,383.90 and 181,259.70

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Solution

The fourth proportional to 212,922.60, 319,383.90 and 181,259.70 is: 271,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,922.60 : 319,383.90 = 181,259.70 : x
  2. Step 2: Convert to fraction form
    212,922.60/319,383.90 = 181,259.70/x
  3. Step 3: Cross multiply
    212,922.60x = 319,383.90 × 181,259.70
  4. Step 4: Simplify right side
    212,922.60x = 57,891,429,898.83
  5. Step 5: Solve for x
    x = 57,891,429,898.83/212,922.60
  6. Step 6: Final answer
    x = 271,889.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.