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Finding the Fourth Proportional to 205,413.84, 283,484.46 and 114,770.34

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Solution

The fourth proportional to 205,413.84, 283,484.46 and 114,770.34 is: 158,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.84 : 283,484.46 = 114,770.34 : x
  2. Step 2: Convert to fraction form
    205,413.84/283,484.46 = 114,770.34/x
  3. Step 3: Cross multiply
    205,413.84x = 283,484.46 × 114,770.34
  4. Step 4: Simplify right side
    205,413.84x = 32,535,607,858.92
  5. Step 5: Solve for x
    x = 32,535,607,858.92/205,413.84
  6. Step 6: Final answer
    x = 158,390.53

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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.