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Finding the Fourth Proportional to 209,237.50, 313,994.49 and 98,438.14

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Solution

The fourth proportional to 209,237.50, 313,994.49 and 98,438.14 is: 147,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,237.50 : 313,994.49 = 98,438.14 : x
  2. Step 2: Convert to fraction form
    209,237.50/313,994.49 = 98,438.14/x
  3. Step 3: Cross multiply
    209,237.50x = 313,994.49 × 98,438.14
  4. Step 4: Simplify right side
    209,237.50x = 30,909,033,565.85
  5. Step 5: Solve for x
    x = 30,909,033,565.85/209,237.50
  6. Step 6: Final answer
    x = 147,722.25

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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.