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Finding the Fourth Proportional to 196,174.56, 294,264.58 and 55,933.19

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Solution

The fourth proportional to 196,174.56, 294,264.58 and 55,933.19 is: 83,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,174.56 : 294,264.58 = 55,933.19 : x
  2. Step 2: Convert to fraction form
    196,174.56/294,264.58 = 55,933.19/x
  3. Step 3: Cross multiply
    196,174.56x = 294,264.58 × 55,933.19
  4. Step 4: Simplify right side
    196,174.56x = 16,459,156,663.41
  5. Step 5: Solve for x
    x = 16,459,156,663.41/196,174.56
  6. Step 6: Final answer
    x = 83,900.57

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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.