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Finding the Fourth Proportional to 196,959.34, 295,513.46 and 77,101.94

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Solution

The fourth proportional to 196,959.34, 295,513.46 and 77,101.94 is: 115,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,959.34 : 295,513.46 = 77,101.94 : x
  2. Step 2: Convert to fraction form
    196,959.34/295,513.46 = 77,101.94/x
  3. Step 3: Cross multiply
    196,959.34x = 295,513.46 × 77,101.94
  4. Step 4: Simplify right side
    196,959.34x = 22,784,661,062.11
  5. Step 5: Solve for x
    x = 22,784,661,062.11/196,959.34
  6. Step 6: Final answer
    x = 115,682.05

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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.