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Finding the Fourth Proportional to 196,433.19, 294,649.83 and 56,191.82

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Solution

The fourth proportional to 196,433.19, 294,649.83 and 56,191.82 is: 84,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,433.19 : 294,649.83 = 56,191.82 : x
  2. Step 2: Convert to fraction form
    196,433.19/294,649.83 = 56,191.82/x
  3. Step 3: Cross multiply
    196,433.19x = 294,649.83 × 56,191.82
  4. Step 4: Simplify right side
    196,433.19x = 16,556,908,737.14
  5. Step 5: Solve for x
    x = 16,556,908,737.14/196,433.19
  6. Step 6: Final answer
    x = 84,287.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.