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Finding the Fourth Proportional to 146,741.40, 220,112.10 and 123,413.40

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Solution

The fourth proportional to 146,741.40, 220,112.10 and 123,413.40 is: 185,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,741.40 : 220,112.10 = 123,413.40 : x
  2. Step 2: Convert to fraction form
    146,741.40/220,112.10 = 123,413.40/x
  3. Step 3: Cross multiply
    146,741.40x = 220,112.10 × 123,413.40
  4. Step 4: Simplify right side
    146,741.40x = 27,164,782,642.14
  5. Step 5: Solve for x
    x = 27,164,782,642.14/146,741.40
  6. Step 6: Final answer
    x = 185,120.10

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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.