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Finding the Fourth Proportional to 369,650.80, 510,121.16 and 204,084.10

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Solution

The fourth proportional to 369,650.80, 510,121.16 and 204,084.10 is: 281,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,650.80 : 510,121.16 = 204,084.10 : x
  2. Step 2: Convert to fraction form
    369,650.80/510,121.16 = 204,084.10/x
  3. Step 3: Cross multiply
    369,650.80x = 510,121.16 × 204,084.10
  4. Step 4: Simplify right side
    369,650.80x = 104,107,617,829.56
  5. Step 5: Solve for x
    x = 104,107,617,829.56/369,650.80
  6. Step 6: Final answer
    x = 281,637.75

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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.