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Finding the Fourth Proportional to 215,867.60, 323,801.40 and 194,872.40

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Solution

The fourth proportional to 215,867.60, 323,801.40 and 194,872.40 is: 292,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,867.60 : 323,801.40 = 194,872.40 : x
  2. Step 2: Convert to fraction form
    215,867.60/323,801.40 = 194,872.40/x
  3. Step 3: Cross multiply
    215,867.60x = 323,801.40 × 194,872.40
  4. Step 4: Simplify right side
    215,867.60x = 63,099,955,941.36
  5. Step 5: Solve for x
    x = 63,099,955,941.36/215,867.60
  6. Step 6: Final answer
    x = 292,308.60

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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.