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Finding the Fourth Proportional to 194,293.80, 268,130.64 and 109,413.84

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Solution

The fourth proportional to 194,293.80, 268,130.64 and 109,413.84 is: 150,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,293.80 : 268,130.64 = 109,413.84 : x
  2. Step 2: Convert to fraction form
    194,293.80/268,130.64 = 109,413.84/x
  3. Step 3: Cross multiply
    194,293.80x = 268,130.64 × 109,413.84
  4. Step 4: Simplify right side
    194,293.80x = 29,337,202,944.06
  5. Step 5: Solve for x
    x = 29,337,202,944.06/194,293.80
  6. Step 6: Final answer
    x = 150,994.03

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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.