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Finding the Fourth Proportional to 365,157.09, 503,913.38 and 204,039.90

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Solution

The fourth proportional to 365,157.09, 503,913.38 and 204,039.90 is: 281,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,157.09 : 503,913.38 = 204,039.90 : x
  2. Step 2: Convert to fraction form
    365,157.09/503,913.38 = 204,039.90/x
  3. Step 3: Cross multiply
    365,157.09x = 503,913.38 × 204,039.90
  4. Step 4: Simplify right side
    365,157.09x = 102,818,434,643.66
  5. Step 5: Solve for x
    x = 102,818,434,643.66/365,157.09
  6. Step 6: Final answer
    x = 281,573.16

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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.