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Finding the Fourth Proportional to 140,320.84, 210,413.04 and 46,795

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Solution

The fourth proportional to 140,320.84, 210,413.04 and 46,795 is: 70,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,320.84 : 210,413.04 = 46,795 : x
  2. Step 2: Convert to fraction form
    140,320.84/210,413.04 = 46,795/x
  3. Step 3: Cross multiply
    140,320.84x = 210,413.04 × 46,795
  4. Step 4: Simplify right side
    140,320.84x = 9,846,278,206.80
  5. Step 5: Solve for x
    x = 9,846,278,206.80/140,320.84
  6. Step 6: Final answer
    x = 70,169.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.