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Finding the Fourth Proportional to 197,926.84, 296,942.10 and 98,083

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Solution

The fourth proportional to 197,926.84, 296,942.10 and 98,083 is: 147,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,926.84 : 296,942.10 = 98,083 : x
  2. Step 2: Convert to fraction form
    197,926.84/296,942.10 = 98,083/x
  3. Step 3: Cross multiply
    197,926.84x = 296,942.10 × 98,083
  4. Step 4: Simplify right side
    197,926.84x = 29,124,971,994.30
  5. Step 5: Solve for x
    x = 29,124,971,994.30/197,926.84
  6. Step 6: Final answer
    x = 147,150.19

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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.