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Finding the Fourth Proportional to 365,237.76, 504,018.43 and 204,094.14

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Solution

The fourth proportional to 365,237.76, 504,018.43 and 204,094.14 is: 281,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,237.76 : 504,018.43 = 204,094.14 : x
  2. Step 2: Convert to fraction form
    365,237.76/504,018.43 = 204,094.14/x
  3. Step 3: Cross multiply
    365,237.76x = 504,018.43 × 204,094.14
  4. Step 4: Simplify right side
    365,237.76x = 102,867,208,015.00
  5. Step 5: Solve for x
    x = 102,867,208,015.00/365,237.76
  6. Step 6: Final answer
    x = 281,644.50

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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.