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Finding the Fourth Proportional to 196,873.00, 295,424.21 and 83,013.84

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Solution

The fourth proportional to 196,873.00, 295,424.21 and 83,013.84 is: 124,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,873.00 : 295,424.21 = 83,013.84 : x
  2. Step 2: Convert to fraction form
    196,873.00/295,424.21 = 83,013.84/x
  3. Step 3: Cross multiply
    196,873.00x = 295,424.21 × 83,013.84
  4. Step 4: Simplify right side
    196,873.00x = 24,524,298,308.60
  5. Step 5: Solve for x
    x = 24,524,298,308.60/196,873.00
  6. Step 6: Final answer
    x = 124,569.13

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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.