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Finding the Fourth Proportional to 196,903.89, 295,371.33 and 97,009.56

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Solution

The fourth proportional to 196,903.89, 295,371.33 and 97,009.56 is: 145,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,903.89 : 295,371.33 = 97,009.56 : x
  2. Step 2: Convert to fraction form
    196,903.89/295,371.33 = 97,009.56/x
  3. Step 3: Cross multiply
    196,903.89x = 295,371.33 × 97,009.56
  4. Step 4: Simplify right side
    196,903.89x = 28,653,842,759.91
  5. Step 5: Solve for x
    x = 28,653,842,759.91/196,903.89
  6. Step 6: Final answer
    x = 145,521.97

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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.