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Finding the Fourth Proportional to 204,928, 282,802.80 and 115,504

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Solution

The fourth proportional to 204,928, 282,802.80 and 115,504 is: 159,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,928 : 282,802.80 = 115,504 : x
  2. Step 2: Convert to fraction form
    204,928/282,802.80 = 115,504/x
  3. Step 3: Cross multiply
    204,928x = 282,802.80 × 115,504
  4. Step 4: Simplify right side
    204,928x = 32,664,854,611.20
  5. Step 5: Solve for x
    x = 32,664,854,611.20/204,928
  6. Step 6: Final answer
    x = 159,396.74

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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.