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Finding the Fourth Proportional to 365,301.02, 504,113.70 and 204,155.90

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Solution

The fourth proportional to 365,301.02, 504,113.70 and 204,155.90 is: 281,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,301.02 : 504,113.70 = 204,155.90 : x
  2. Step 2: Convert to fraction form
    365,301.02/504,113.70 = 204,155.90/x
  3. Step 3: Cross multiply
    365,301.02x = 504,113.70 × 204,155.90
  4. Step 4: Simplify right side
    365,301.02x = 102,917,786,125.83
  5. Step 5: Solve for x
    x = 102,917,786,125.83/365,301.02
  6. Step 6: Final answer
    x = 281,734.19

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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.