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Finding the Fourth Proportional to 201,022.40, 301,533.60 and 96,046.40

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Solution

The fourth proportional to 201,022.40, 301,533.60 and 96,046.40 is: 144,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,022.40 : 301,533.60 = 96,046.40 : x
  2. Step 2: Convert to fraction form
    201,022.40/301,533.60 = 96,046.40/x
  3. Step 3: Cross multiply
    201,022.40x = 301,533.60 × 96,046.40
  4. Step 4: Simplify right side
    201,022.40x = 28,961,216,759.04
  5. Step 5: Solve for x
    x = 28,961,216,759.04/201,022.40
  6. Step 6: Final answer
    x = 144,069.60

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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.