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Finding the Fourth Proportional to 196,515.82, 294,744.94 and 96,649.16

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Solution

The fourth proportional to 196,515.82, 294,744.94 and 96,649.16 is: 144,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,515.82 : 294,744.94 = 96,649.16 : x
  2. Step 2: Convert to fraction form
    196,515.82/294,744.94 = 96,649.16/x
  3. Step 3: Cross multiply
    196,515.82x = 294,744.94 × 96,649.16
  4. Step 4: Simplify right side
    196,515.82x = 28,486,850,865.25
  5. Step 5: Solve for x
    x = 28,486,850,865.25/196,515.82
  6. Step 6: Final answer
    x = 144,959.58

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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.