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Finding the Fourth Proportional to 196,503.46, 294,773.01 and 54,357.64

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Solution

The fourth proportional to 196,503.46, 294,773.01 and 54,357.64 is: 81,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,503.46 : 294,773.01 = 54,357.64 : x
  2. Step 2: Convert to fraction form
    196,503.46/294,773.01 = 54,357.64/x
  3. Step 3: Cross multiply
    196,503.46x = 294,773.01 × 54,357.64
  4. Step 4: Simplify right side
    196,503.46x = 16,023,165,159.30
  5. Step 5: Solve for x
    x = 16,023,165,159.30/196,503.46
  6. Step 6: Final answer
    x = 81,541.39

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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.