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Finding the Fourth Proportional to 196,438, 271,084.44 and 107,014

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Solution

The fourth proportional to 196,438, 271,084.44 and 107,014 is: 147,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438 : 271,084.44 = 107,014 : x
  2. Step 2: Convert to fraction form
    196,438/271,084.44 = 107,014/x
  3. Step 3: Cross multiply
    196,438x = 271,084.44 × 107,014
  4. Step 4: Simplify right side
    196,438x = 29,009,830,262.16
  5. Step 5: Solve for x
    x = 29,009,830,262.16/196,438
  6. Step 6: Final answer
    x = 147,679.32

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Why These Related Problems?

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