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Finding the Fourth Proportional to 201,446.40, 301,910.40 and 96,038.40

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Solution

The fourth proportional to 201,446.40, 301,910.40 and 96,038.40 is: 143,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,446.40 : 301,910.40 = 96,038.40 : x
  2. Step 2: Convert to fraction form
    201,446.40/301,910.40 = 96,038.40/x
  3. Step 3: Cross multiply
    201,446.40x = 301,910.40 × 96,038.40
  4. Step 4: Simplify right side
    201,446.40x = 28,994,991,759.36
  5. Step 5: Solve for x
    x = 28,994,991,759.36/201,446.40
  6. Step 6: Final answer
    x = 143,934.03

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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.