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Finding the Fourth Proportional to 201,000.84, 301,107.06 and 116,583.60

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Solution

The fourth proportional to 201,000.84, 301,107.06 and 116,583.60 is: 174,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,000.84 : 301,107.06 = 116,583.60 : x
  2. Step 2: Convert to fraction form
    201,000.84/301,107.06 = 116,583.60/x
  3. Step 3: Cross multiply
    201,000.84x = 301,107.06 × 116,583.60
  4. Step 4: Simplify right side
    201,000.84x = 35,104,145,040.22
  5. Step 5: Solve for x
    x = 35,104,145,040.22/201,000.84
  6. Step 6: Final answer
    x = 174,646.76

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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.