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Finding the Fourth Proportional to 270,297.10, 405,647.61 and 101,983.42

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Solution

The fourth proportional to 270,297.10, 405,647.61 and 101,983.42 is: 153,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,297.10 : 405,647.61 = 101,983.42 : x
  2. Step 2: Convert to fraction form
    270,297.10/405,647.61 = 101,983.42/x
  3. Step 3: Cross multiply
    270,297.10x = 405,647.61 × 101,983.42
  4. Step 4: Simplify right side
    270,297.10x = 41,369,330,582.63
  5. Step 5: Solve for x
    x = 41,369,330,582.63/270,297.10
  6. Step 6: Final answer
    x = 153,051.33

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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.