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Finding the Fourth Proportional to 209,316.08, 313,750.50 and 96,865.40

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Solution

The fourth proportional to 209,316.08, 313,750.50 and 96,865.40 is: 145,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,316.08 : 313,750.50 = 96,865.40 : x
  2. Step 2: Convert to fraction form
    209,316.08/313,750.50 = 96,865.40/x
  3. Step 3: Cross multiply
    209,316.08x = 313,750.50 × 96,865.40
  4. Step 4: Simplify right side
    209,316.08x = 30,391,567,682.70
  5. Step 5: Solve for x
    x = 30,391,567,682.70/209,316.08
  6. Step 6: Final answer
    x = 145,194.62

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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.