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Finding the Fourth Proportional to 256,590.50, 354,105.83 and 143,413.25

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Solution

The fourth proportional to 256,590.50, 354,105.83 and 143,413.25 is: 197,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,590.50 : 354,105.83 = 143,413.25 : x
  2. Step 2: Convert to fraction form
    256,590.50/354,105.83 = 143,413.25/x
  3. Step 3: Cross multiply
    256,590.50x = 354,105.83 × 143,413.25
  4. Step 4: Simplify right side
    256,590.50x = 50,783,467,207.18
  5. Step 5: Solve for x
    x = 50,783,467,207.18/256,590.50
  6. Step 6: Final answer
    x = 197,916.40

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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.