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Finding the Fourth Proportional to 196,524.63, 294,758.19 and 96,657.98

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Solution

The fourth proportional to 196,524.63, 294,758.19 and 96,657.98 is: 144,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524.63 : 294,758.19 = 96,657.98 : x
  2. Step 2: Convert to fraction form
    196,524.63/294,758.19 = 96,657.98/x
  3. Step 3: Cross multiply
    196,524.63x = 294,758.19 × 96,657.98
  4. Step 4: Simplify right side
    196,524.63x = 28,490,729,760.07
  5. Step 5: Solve for x
    x = 28,490,729,760.07/196,524.63
  6. Step 6: Final answer
    x = 144,972.82

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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.