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Finding the Fourth Proportional to 201,413.48, 301,912.86 and 107,894.12

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Solution

The fourth proportional to 201,413.48, 301,912.86 and 107,894.12 is: 161,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,413.48 : 301,912.86 = 107,894.12 : x
  2. Step 2: Convert to fraction form
    201,413.48/301,912.86 = 107,894.12/x
  3. Step 3: Cross multiply
    201,413.48x = 301,912.86 × 107,894.12
  4. Step 4: Simplify right side
    201,413.48x = 32,574,622,346.38
  5. Step 5: Solve for x
    x = 32,574,622,346.38/201,413.48
  6. Step 6: Final answer
    x = 161,730.10

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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.