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Finding the Fourth Proportional to 196,980.52, 271,801.46 and 112,099

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Solution

The fourth proportional to 196,980.52, 271,801.46 and 112,099 is: 154,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,980.52 : 271,801.46 = 112,099 : x
  2. Step 2: Convert to fraction form
    196,980.52/271,801.46 = 112,099/x
  3. Step 3: Cross multiply
    196,980.52x = 271,801.46 × 112,099
  4. Step 4: Simplify right side
    196,980.52x = 30,468,671,864.54
  5. Step 5: Solve for x
    x = 30,468,671,864.54/196,980.52
  6. Step 6: Final answer
    x = 154,678.60

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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.