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Finding the Fourth Proportional to 189,454.45, 261,445.89 and 103,413.09

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Solution

The fourth proportional to 189,454.45, 261,445.89 and 103,413.09 is: 142,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,454.45 : 261,445.89 = 103,413.09 : x
  2. Step 2: Convert to fraction form
    189,454.45/261,445.89 = 103,413.09/x
  3. Step 3: Cross multiply
    189,454.45x = 261,445.89 × 103,413.09
  4. Step 4: Simplify right side
    189,454.45x = 27,036,927,352.70
  5. Step 5: Solve for x
    x = 27,036,927,352.70/189,454.45
  6. Step 6: Final answer
    x = 142,709.38

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Why These Related Problems?

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