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Finding the Fourth Proportional to 201,657.20, 302,485.80 and 83,413.40

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Solution

The fourth proportional to 201,657.20, 302,485.80 and 83,413.40 is: 125,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,657.20 : 302,485.80 = 83,413.40 : x
  2. Step 2: Convert to fraction form
    201,657.20/302,485.80 = 83,413.40/x
  3. Step 3: Cross multiply
    201,657.20x = 302,485.80 × 83,413.40
  4. Step 4: Simplify right side
    201,657.20x = 25,231,369,029.72
  5. Step 5: Solve for x
    x = 25,231,369,029.72/201,657.20
  6. Step 6: Final answer
    x = 125,120.10

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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.