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Finding the Fourth Proportional to 200,413.85, 276,380.24 and 119,828.30

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Solution

The fourth proportional to 200,413.85, 276,380.24 and 119,828.30 is: 165,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.85 : 276,380.24 = 119,828.30 : x
  2. Step 2: Convert to fraction form
    200,413.85/276,380.24 = 119,828.30/x
  3. Step 3: Cross multiply
    200,413.85x = 276,380.24 × 119,828.30
  4. Step 4: Simplify right side
    200,413.85x = 33,118,172,331.75
  5. Step 5: Solve for x
    x = 33,118,172,331.75/200,413.85
  6. Step 6: Final answer
    x = 165,248.92

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1.5x scale

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.