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Finding the Fourth Proportional to 199,609.10, 299,413.66 and 159,440.01

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Solution

The fourth proportional to 199,609.10, 299,413.66 and 159,440.01 is: 239,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,609.10 : 299,413.66 = 159,440.01 : x
  2. Step 2: Convert to fraction form
    199,609.10/299,413.66 = 159,440.01/x
  3. Step 3: Cross multiply
    199,609.10x = 299,413.66 × 159,440.01
  4. Step 4: Simplify right side
    199,609.10x = 47,738,516,944.54
  5. Step 5: Solve for x
    x = 47,738,516,944.54/199,609.10
  6. Step 6: Final answer
    x = 239,160.02

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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.