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Finding the Fourth Proportional to 136,413.20, 205,057.20 and 97,241.60

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Solution

The fourth proportional to 136,413.20, 205,057.20 and 97,241.60 is: 146,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,413.20 : 205,057.20 = 97,241.60 : x
  2. Step 2: Convert to fraction form
    136,413.20/205,057.20 = 97,241.60/x
  3. Step 3: Cross multiply
    136,413.20x = 205,057.20 × 97,241.60
  4. Step 4: Simplify right side
    136,413.20x = 19,940,090,219.52
  5. Step 5: Solve for x
    x = 19,940,090,219.52/136,413.20
  6. Step 6: Final answer
    x = 146,174.20

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Why These Related Problems?

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