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Finding the Fourth Proportional to 227,608.70, 341,413.05 and 156,749.90

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Solution

The fourth proportional to 227,608.70, 341,413.05 and 156,749.90 is: 235,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,608.70 : 341,413.05 = 156,749.90 : x
  2. Step 2: Convert to fraction form
    227,608.70/341,413.05 = 156,749.90/x
  3. Step 3: Cross multiply
    227,608.70x = 341,413.05 × 156,749.90
  4. Step 4: Simplify right side
    227,608.70x = 53,516,461,446.20
  5. Step 5: Solve for x
    x = 53,516,461,446.20/227,608.70
  6. Step 6: Final answer
    x = 235,124.85

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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.