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Finding the Fourth Proportional to 405,621.20, 608,431.80 and 106,101.20

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Solution

The fourth proportional to 405,621.20, 608,431.80 and 106,101.20 is: 159,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,621.20 : 608,431.80 = 106,101.20 : x
  2. Step 2: Convert to fraction form
    405,621.20/608,431.80 = 106,101.20/x
  3. Step 3: Cross multiply
    405,621.20x = 608,431.80 × 106,101.20
  4. Step 4: Simplify right side
    405,621.20x = 64,555,344,098.16
  5. Step 5: Solve for x
    x = 64,555,344,098.16/405,621.20
  6. Step 6: Final answer
    x = 159,151.80

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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.