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Finding the Fourth Proportional to 213,440.30, 319,814.85 and 134,413.10

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Solution

The fourth proportional to 213,440.30, 319,814.85 and 134,413.10 is: 201,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,440.30 : 319,814.85 = 134,413.10 : x
  2. Step 2: Convert to fraction form
    213,440.30/319,814.85 = 134,413.10/x
  3. Step 3: Cross multiply
    213,440.30x = 319,814.85 × 134,413.10
  4. Step 4: Simplify right side
    213,440.30x = 42,987,305,414.54
  5. Step 5: Solve for x
    x = 42,987,305,414.54/213,440.30
  6. Step 6: Final answer
    x = 201,402.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.