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Finding the Fourth Proportional to 209,353.09, 313,779.50 and 76,077.31

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Solution

The fourth proportional to 209,353.09, 313,779.50 and 76,077.31 is: 114,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,353.09 : 313,779.50 = 76,077.31 : x
  2. Step 2: Convert to fraction form
    209,353.09/313,779.50 = 76,077.31/x
  3. Step 3: Cross multiply
    209,353.09x = 313,779.50 × 76,077.31
  4. Step 4: Simplify right side
    209,353.09x = 23,871,500,293.15
  5. Step 5: Solve for x
    x = 23,871,500,293.15/209,353.09
  6. Step 6: Final answer
    x = 114,025.07

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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.