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Finding the Fourth Proportional to 196,064.96, 294,096 and 55,823.36

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Solution

The fourth proportional to 196,064.96, 294,096 and 55,823.36 is: 83,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,064.96 : 294,096 = 55,823.36 : x
  2. Step 2: Convert to fraction form
    196,064.96/294,096 = 55,823.36/x
  3. Step 3: Cross multiply
    196,064.96x = 294,096 × 55,823.36
  4. Step 4: Simplify right side
    196,064.96x = 16,417,426,882.56
  5. Step 5: Solve for x
    x = 16,417,426,882.56/196,064.96
  6. Step 6: Final answer
    x = 83,734.63

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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.