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Finding the Fourth Proportional to 196,709.20, 293,943.93 and 147,702.98

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Solution

The fourth proportional to 196,709.20, 293,943.93 and 147,702.98 is: 220,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,709.20 : 293,943.93 = 147,702.98 : x
  2. Step 2: Convert to fraction form
    196,709.20/293,943.93 = 147,702.98/x
  3. Step 3: Cross multiply
    196,709.20x = 293,943.93 × 147,702.98
  4. Step 4: Simplify right side
    196,709.20x = 43,416,394,413.91
  5. Step 5: Solve for x
    x = 43,416,394,413.91/196,709.20
  6. Step 6: Final answer
    x = 220,713.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.