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Finding the Fourth Proportional to 208,835.94, 288,193.80 and 113,342.68

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Solution

The fourth proportional to 208,835.94, 288,193.80 and 113,342.68 is: 156,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,835.94 : 288,193.80 = 113,342.68 : x
  2. Step 2: Convert to fraction form
    208,835.94/288,193.80 = 113,342.68/x
  3. Step 3: Cross multiply
    208,835.94x = 288,193.80 × 113,342.68
  4. Step 4: Simplify right side
    208,835.94x = 32,664,657,651.38
  5. Step 5: Solve for x
    x = 32,664,657,651.38/208,835.94
  6. Step 6: Final answer
    x = 156,413.01

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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.