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Finding the Fourth Proportional to 322,051.42, 483,077.16 and 100,435.42

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Solution

The fourth proportional to 322,051.42, 483,077.16 and 100,435.42 is: 150,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,051.42 : 483,077.16 = 100,435.42 : x
  2. Step 2: Convert to fraction form
    322,051.42/483,077.16 = 100,435.42/x
  3. Step 3: Cross multiply
    322,051.42x = 483,077.16 × 100,435.42
  4. Step 4: Simplify right side
    322,051.42x = 48,518,057,457.01
  5. Step 5: Solve for x
    x = 48,518,057,457.01/322,051.42
  6. Step 6: Final answer
    x = 150,653.14

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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.