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Finding the Fourth Proportional to 196,957.78, 295,511.11 and 77,100.38

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Solution

The fourth proportional to 196,957.78, 295,511.11 and 77,100.38 is: 115,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,957.78 : 295,511.11 = 77,100.38 : x
  2. Step 2: Convert to fraction form
    196,957.78/295,511.11 = 77,100.38/x
  3. Step 3: Cross multiply
    196,957.78x = 295,511.11 × 77,100.38
  4. Step 4: Simplify right side
    196,957.78x = 22,784,018,746.77
  5. Step 5: Solve for x
    x = 22,784,018,746.77/196,957.78
  6. Step 6: Final answer
    x = 115,679.71

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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.