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Finding the Fourth Proportional to 209,846.15, 289,587.70 and 114,352.82

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Solution

The fourth proportional to 209,846.15, 289,587.70 and 114,352.82 is: 157,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,846.15 : 289,587.70 = 114,352.82 : x
  2. Step 2: Convert to fraction form
    209,846.15/289,587.70 = 114,352.82/x
  3. Step 3: Cross multiply
    209,846.15x = 289,587.70 × 114,352.82
  4. Step 4: Simplify right side
    209,846.15x = 33,115,170,999.22
  5. Step 5: Solve for x
    x = 33,115,170,999.22/209,846.15
  6. Step 6: Final answer
    x = 157,806.90

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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.