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Finding the Fourth Proportional to 201,702.80, 303,210.30 and 142,945.40

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Solution

The fourth proportional to 201,702.80, 303,210.30 and 142,945.40 is: 214,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.80 : 303,210.30 = 142,945.40 : x
  2. Step 2: Convert to fraction form
    201,702.80/303,210.30 = 142,945.40/x
  3. Step 3: Cross multiply
    201,702.80x = 303,210.30 × 142,945.40
  4. Step 4: Simplify right side
    201,702.80x = 43,342,517,617.62
  5. Step 5: Solve for x
    x = 43,342,517,617.62/201,702.80
  6. Step 6: Final answer
    x = 214,883.07

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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.