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Finding the Fourth Proportional to 264,271.85, 364,695.38 and 143,413.13

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Solution

The fourth proportional to 264,271.85, 364,695.38 and 143,413.13 is: 197,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,271.85 : 364,695.38 = 143,413.13 : x
  2. Step 2: Convert to fraction form
    264,271.85/364,695.38 = 143,413.13/x
  3. Step 3: Cross multiply
    264,271.85x = 364,695.38 × 143,413.13
  4. Step 4: Simplify right side
    264,271.85x = 52,302,105,942.34
  5. Step 5: Solve for x
    x = 52,302,105,942.34/264,271.85
  6. Step 6: Final answer
    x = 197,910.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.