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Finding the Fourth Proportional to 201,813.80, 303,746.75 and 152,144.60

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Solution

The fourth proportional to 201,813.80, 303,746.75 and 152,144.60 is: 228,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.80 : 303,746.75 = 152,144.60 : x
  2. Step 2: Convert to fraction form
    201,813.80/303,746.75 = 152,144.60/x
  3. Step 3: Cross multiply
    201,813.80x = 303,746.75 × 152,144.60
  4. Step 4: Simplify right side
    201,813.80x = 46,213,427,780.05
  5. Step 5: Solve for x
    x = 46,213,427,780.05/201,813.80
  6. Step 6: Final answer
    x = 228,990.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.