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Finding the Fourth Proportional to 209,353.93, 288,909.79 and 113,861.32

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Solution

The fourth proportional to 209,353.93, 288,909.79 and 113,861.32 is: 157,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,353.93 : 288,909.79 = 113,861.32 : x
  2. Step 2: Convert to fraction form
    209,353.93/288,909.79 = 113,861.32/x
  3. Step 3: Cross multiply
    209,353.93x = 288,909.79 × 113,861.32
  4. Step 4: Simplify right side
    209,353.93x = 32,895,649,043.40
  5. Step 5: Solve for x
    x = 32,895,649,043.40/209,353.93
  6. Step 6: Final answer
    x = 157,129.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.