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Finding the Fourth Proportional to 227,413.96, 341,268.54 and 102,756.04

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Solution

The fourth proportional to 227,413.96, 341,268.54 and 102,756.04 is: 154,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,413.96 : 341,268.54 = 102,756.04 : x
  2. Step 2: Convert to fraction form
    227,413.96/341,268.54 = 102,756.04/x
  3. Step 3: Cross multiply
    227,413.96x = 341,268.54 × 102,756.04
  4. Step 4: Simplify right side
    227,413.96x = 35,067,403,746.98
  5. Step 5: Solve for x
    x = 35,067,403,746.98/227,413.96
  6. Step 6: Final answer
    x = 154,200.75

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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.