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Finding the Fourth Proportional to 257,412.24, 355,413.96 and 166,899.60

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Solution

The fourth proportional to 257,412.24, 355,413.96 and 166,899.60 is: 230,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.24 : 355,413.96 = 166,899.60 : x
  2. Step 2: Convert to fraction form
    257,412.24/355,413.96 = 166,899.60/x
  3. Step 3: Cross multiply
    257,412.24x = 355,413.96 × 166,899.60
  4. Step 4: Simplify right side
    257,412.24x = 59,318,447,758.42
  5. Step 5: Solve for x
    x = 59,318,447,758.42/257,412.24
  6. Step 6: Final answer
    x = 230,441.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.