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Finding the Fourth Proportional to 196,958.34, 295,511.96 and 77,100.94

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Solution

The fourth proportional to 196,958.34, 295,511.96 and 77,100.94 is: 115,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,958.34 : 295,511.96 = 77,100.94 : x
  2. Step 2: Convert to fraction form
    196,958.34/295,511.96 = 77,100.94/x
  3. Step 3: Cross multiply
    196,958.34x = 295,511.96 × 77,100.94
  4. Step 4: Simplify right side
    196,958.34x = 22,784,249,897.24
  5. Step 5: Solve for x
    x = 22,784,249,897.24/196,958.34
  6. Step 6: Final answer
    x = 115,680.55

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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.