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Finding the Fourth Proportional to 194,413.50, 291,620.25 and 46,669.50

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Solution

The fourth proportional to 194,413.50, 291,620.25 and 46,669.50 is: 70,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,413.50 : 291,620.25 = 46,669.50 : x
  2. Step 2: Convert to fraction form
    194,413.50/291,620.25 = 46,669.50/x
  3. Step 3: Cross multiply
    194,413.50x = 291,620.25 × 46,669.50
  4. Step 4: Simplify right side
    194,413.50x = 13,609,771,257.38
  5. Step 5: Solve for x
    x = 13,609,771,257.38/194,413.50
  6. Step 6: Final answer
    x = 70,004.25

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Why These Related Problems?

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