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Finding the Fourth Proportional to 189,917.37, 284,792.94 and 90,106.02

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Solution

The fourth proportional to 189,917.37, 284,792.94 and 90,106.02 is: 135,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,917.37 : 284,792.94 = 90,106.02 : x
  2. Step 2: Convert to fraction form
    189,917.37/284,792.94 = 90,106.02/x
  3. Step 3: Cross multiply
    189,917.37x = 284,792.94 × 90,106.02
  4. Step 4: Simplify right side
    189,917.37x = 25,661,558,347.50
  5. Step 5: Solve for x
    x = 25,661,558,347.50/189,917.37
  6. Step 6: Final answer
    x = 135,119.60

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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.