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Finding the Fourth Proportional to 196,503.21, 294,772.64 and 54,357.39

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Solution

The fourth proportional to 196,503.21, 294,772.64 and 54,357.39 is: 81,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,503.21 : 294,772.64 = 54,357.39 : x
  2. Step 2: Convert to fraction form
    196,503.21/294,772.64 = 54,357.39/x
  3. Step 3: Cross multiply
    196,503.21x = 294,772.64 × 54,357.39
  4. Step 4: Simplify right side
    196,503.21x = 16,023,071,082.02
  5. Step 5: Solve for x
    x = 16,023,071,082.02/196,503.21
  6. Step 6: Final answer
    x = 81,541.01

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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.