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Finding the Fourth Proportional to 209,131.82, 288,603.74 and 113,638.52

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Solution

The fourth proportional to 209,131.82, 288,603.74 and 113,638.52 is: 156,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,131.82 : 288,603.74 = 113,638.52 : x
  2. Step 2: Convert to fraction form
    209,131.82/288,603.74 = 113,638.52/x
  3. Step 3: Cross multiply
    209,131.82x = 288,603.74 × 113,638.52
  4. Step 4: Simplify right side
    209,131.82x = 32,796,501,880.06
  5. Step 5: Solve for x
    x = 32,796,501,880.06/209,131.82
  6. Step 6: Final answer
    x = 156,822.15

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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.