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Finding the Fourth Proportional to 205,096.60, 307,644.90 and 197,223.40

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Solution

The fourth proportional to 205,096.60, 307,644.90 and 197,223.40 is: 295,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,096.60 : 307,644.90 = 197,223.40 : x
  2. Step 2: Convert to fraction form
    205,096.60/307,644.90 = 197,223.40/x
  3. Step 3: Cross multiply
    205,096.60x = 307,644.90 × 197,223.40
  4. Step 4: Simplify right side
    205,096.60x = 60,674,773,170.66
  5. Step 5: Solve for x
    x = 60,674,773,170.66/205,096.60
  6. Step 6: Final answer
    x = 295,835.10

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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.