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Finding the Fourth Proportional to 209,113.21, 313,493.50 and 90,695.40

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Solution

The fourth proportional to 209,113.21, 313,493.50 and 90,695.40 is: 135,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,113.21 : 313,493.50 = 90,695.40 : x
  2. Step 2: Convert to fraction form
    209,113.21/313,493.50 = 90,695.40/x
  3. Step 3: Cross multiply
    209,113.21x = 313,493.50 × 90,695.40
  4. Step 4: Simplify right side
    209,113.21x = 28,432,418,379.90
  5. Step 5: Solve for x
    x = 28,432,418,379.90/209,113.21
  6. Step 6: Final answer
    x = 135,966.63

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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.