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Finding the Fourth Proportional to 270,298.10, 405,649.11 and 101,984.42

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Solution

The fourth proportional to 270,298.10, 405,649.11 and 101,984.42 is: 153,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,298.10 : 405,649.11 = 101,984.42 : x
  2. Step 2: Convert to fraction form
    270,298.10/405,649.11 = 101,984.42/x
  3. Step 3: Cross multiply
    270,298.10x = 405,649.11 × 101,984.42
  4. Step 4: Simplify right side
    270,298.10x = 41,369,889,206.87
  5. Step 5: Solve for x
    x = 41,369,889,206.87/270,298.10
  6. Step 6: Final answer
    x = 153,052.83

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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.