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Finding the Fourth Proportional to 199,413.90, 299,120.85 and 133,058.70

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Solution

The fourth proportional to 199,413.90, 299,120.85 and 133,058.70 is: 199,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413.90 : 299,120.85 = 133,058.70 : x
  2. Step 2: Convert to fraction form
    199,413.90/299,120.85 = 133,058.70/x
  3. Step 3: Cross multiply
    199,413.90x = 299,120.85 × 133,058.70
  4. Step 4: Simplify right side
    199,413.90x = 39,800,631,443.90
  5. Step 5: Solve for x
    x = 39,800,631,443.90/199,413.90
  6. Step 6: Final answer
    x = 199,588.05

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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.