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Finding the Fourth Proportional to 119,413.90, 164,787.69 and 65,698.90

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Solution

The fourth proportional to 119,413.90, 164,787.69 and 65,698.90 is: 90,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413.90 : 164,787.69 = 65,698.90 : x
  2. Step 2: Convert to fraction form
    119,413.90/164,787.69 = 65,698.90/x
  3. Step 3: Cross multiply
    119,413.90x = 164,787.69 × 65,698.90
  4. Step 4: Simplify right side
    119,413.90x = 10,826,369,966.54
  5. Step 5: Solve for x
    x = 10,826,369,966.54/119,413.90
  6. Step 6: Final answer
    x = 90,662.56

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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.