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Finding the Fourth Proportional to 412,143.36, 617,201.28 and 201,100.80

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Solution

The fourth proportional to 412,143.36, 617,201.28 and 201,100.80 is: 301,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,143.36 : 617,201.28 = 201,100.80 : x
  2. Step 2: Convert to fraction form
    412,143.36/617,201.28 = 201,100.80/x
  3. Step 3: Cross multiply
    412,143.36x = 617,201.28 × 201,100.80
  4. Step 4: Simplify right side
    412,143.36x = 124,119,671,169.02
  5. Step 5: Solve for x
    x = 124,119,671,169.02/412,143.36
  6. Step 6: Final answer
    x = 301,156.55

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