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Finding the Fourth Proportional to 201,916.62, 303,015.47 and 83,588.58

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Solution

The fourth proportional to 201,916.62, 303,015.47 and 83,588.58 is: 125,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,916.62 : 303,015.47 = 83,588.58 : x
  2. Step 2: Convert to fraction form
    201,916.62/303,015.47 = 83,588.58/x
  3. Step 3: Cross multiply
    201,916.62x = 303,015.47 × 83,588.58
  4. Step 4: Simplify right side
    201,916.62x = 25,328,632,437.39
  5. Step 5: Solve for x
    x = 25,328,632,437.39/201,916.62
  6. Step 6: Final answer
    x = 125,441.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.