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Finding the Fourth Proportional to 255,501.64, 352,603.16 and 142,324.44

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Solution

The fourth proportional to 255,501.64, 352,603.16 and 142,324.44 is: 196,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,501.64 : 352,603.16 = 142,324.44 : x
  2. Step 2: Convert to fraction form
    255,501.64/352,603.16 = 142,324.44/x
  3. Step 3: Cross multiply
    255,501.64x = 352,603.16 × 142,324.44
  4. Step 4: Simplify right side
    255,501.64x = 50,184,047,289.23
  5. Step 5: Solve for x
    x = 50,184,047,289.23/255,501.64
  6. Step 6: Final answer
    x = 196,413.80

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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.