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Finding the Fourth Proportional to 209,120.24, 313,504 and 90,702.40

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Solution

The fourth proportional to 209,120.24, 313,504 and 90,702.40 is: 135,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,120.24 : 313,504 = 90,702.40 : x
  2. Step 2: Convert to fraction form
    209,120.24/313,504 = 90,702.40/x
  3. Step 3: Cross multiply
    209,120.24x = 313,504 × 90,702.40
  4. Step 4: Simplify right side
    209,120.24x = 28,435,565,209.60
  5. Step 5: Solve for x
    x = 28,435,565,209.60/209,120.24
  6. Step 6: Final answer
    x = 135,977.11

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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.