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Finding the Fourth Proportional to 213,155.64, 294,165.54 and 141,413.40

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Solution

The fourth proportional to 213,155.64, 294,165.54 and 141,413.40 is: 195,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,155.64 : 294,165.54 = 141,413.40 : x
  2. Step 2: Convert to fraction form
    213,155.64/294,165.54 = 141,413.40/x
  3. Step 3: Cross multiply
    213,155.64x = 294,165.54 × 141,413.40
  4. Step 4: Simplify right side
    213,155.64x = 41,598,949,174.24
  5. Step 5: Solve for x
    x = 41,598,949,174.24/213,155.64
  6. Step 6: Final answer
    x = 195,157.63

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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.