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Finding the Fourth Proportional to 196,392, 271,026.72 and 106,973.76

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Solution

The fourth proportional to 196,392, 271,026.72 and 106,973.76 is: 147,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,392 : 271,026.72 = 106,973.76 : x
  2. Step 2: Convert to fraction form
    196,392/271,026.72 = 106,973.76/x
  3. Step 3: Cross multiply
    196,392x = 271,026.72 × 106,973.76
  4. Step 4: Simplify right side
    196,392x = 28,992,747,298.87
  5. Step 5: Solve for x
    x = 28,992,747,298.87/196,392
  6. Step 6: Final answer
    x = 147,626.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.