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Finding the Fourth Proportional to 209,212.98, 313,643.07 and 90,795.09

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Solution

The fourth proportional to 209,212.98, 313,643.07 and 90,795.09 is: 136,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,212.98 : 313,643.07 = 90,795.09 : x
  2. Step 2: Convert to fraction form
    209,212.98/313,643.07 = 90,795.09/x
  3. Step 3: Cross multiply
    209,212.98x = 313,643.07 × 90,795.09
  4. Step 4: Simplify right side
    209,212.98x = 28,477,250,768.53
  5. Step 5: Solve for x
    x = 28,477,250,768.53/209,212.98
  6. Step 6: Final answer
    x = 136,116.08

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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.