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Finding the Fourth Proportional to 208,994.64, 288,413.16 and 113,502.96

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Solution

The fourth proportional to 208,994.64, 288,413.16 and 113,502.96 is: 156,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,994.64 : 288,413.16 = 113,502.96 : x
  2. Step 2: Convert to fraction form
    208,994.64/288,413.16 = 113,502.96/x
  3. Step 3: Cross multiply
    208,994.64x = 288,413.16 × 113,502.96
  4. Step 4: Simplify right side
    208,994.64x = 32,735,747,362.95
  5. Step 5: Solve for x
    x = 32,735,747,362.95/208,994.64
  6. Step 6: Final answer
    x = 156,634.39

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Why These Related Problems?

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