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Finding the Fourth Proportional to 193,099.95, 289,383.30 and 139,363.54

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Solution

The fourth proportional to 193,099.95, 289,383.30 and 139,363.54 is: 208,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,099.95 : 289,383.30 = 139,363.54 : x
  2. Step 2: Convert to fraction form
    193,099.95/289,383.30 = 139,363.54/x
  3. Step 3: Cross multiply
    193,099.95x = 289,383.30 × 139,363.54
  4. Step 4: Simplify right side
    193,099.95x = 40,329,480,381.42
  5. Step 5: Solve for x
    x = 40,329,480,381.42/193,099.95
  6. Step 6: Final answer
    x = 208,852.88

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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.