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Finding the Fourth Proportional to 209,316.89, 288,859.37 and 113,825.66

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Solution

The fourth proportional to 209,316.89, 288,859.37 and 113,825.66 is: 157,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,316.89 : 288,859.37 = 113,825.66 : x
  2. Step 2: Convert to fraction form
    209,316.89/288,859.37 = 113,825.66/x
  3. Step 3: Cross multiply
    209,316.89x = 288,859.37 × 113,825.66
  4. Step 4: Simplify right side
    209,316.89x = 32,879,606,424.01
  5. Step 5: Solve for x
    x = 32,879,606,424.01/209,316.89
  6. Step 6: Final answer
    x = 157,080.52

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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.