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Finding the Fourth Proportional to 194,419.79, 268,285.65 and 107,201.01

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Solution

The fourth proportional to 194,419.79, 268,285.65 and 107,201.01 is: 147,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,419.79 : 268,285.65 = 107,201.01 : x
  2. Step 2: Convert to fraction form
    194,419.79/268,285.65 = 107,201.01/x
  3. Step 3: Cross multiply
    194,419.79x = 268,285.65 × 107,201.01
  4. Step 4: Simplify right side
    194,419.79x = 28,760,493,855.58
  5. Step 5: Solve for x
    x = 28,760,493,855.58/194,419.79
  6. Step 6: Final answer
    x = 147,929.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.