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Finding the Fourth Proportional to 201,702.30, 303,209.55 and 142,944.90

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Solution

The fourth proportional to 201,702.30, 303,209.55 and 142,944.90 is: 214,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.30 : 303,209.55 = 142,944.90 : x
  2. Step 2: Convert to fraction form
    201,702.30/303,209.55 = 142,944.90/x
  3. Step 3: Cross multiply
    201,702.30x = 303,209.55 × 142,944.90
  4. Step 4: Simplify right side
    201,702.30x = 43,342,258,803.80
  5. Step 5: Solve for x
    x = 43,342,258,803.80/201,702.30
  6. Step 6: Final answer
    x = 214,882.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.