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Finding the Fourth Proportional to 256,590.75, 354,106.17 and 143,413.50

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Solution

The fourth proportional to 256,590.75, 354,106.17 and 143,413.50 is: 197,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,590.75 : 354,106.17 = 143,413.50 : x
  2. Step 2: Convert to fraction form
    256,590.75/354,106.17 = 143,413.50/x
  3. Step 3: Cross multiply
    256,590.75x = 354,106.17 × 143,413.50
  4. Step 4: Simplify right side
    256,590.75x = 50,783,605,211.30
  5. Step 5: Solve for x
    x = 50,783,605,211.30/256,590.75
  6. Step 6: Final answer
    x = 197,916.74

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