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Finding the Fourth Proportional to 453,822.09, 680,574.42 and 133,889.01

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Solution

The fourth proportional to 453,822.09, 680,574.42 and 133,889.01 is: 200,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,822.09 : 680,574.42 = 133,889.01 : x
  2. Step 2: Convert to fraction form
    453,822.09/680,574.42 = 133,889.01/x
  3. Step 3: Cross multiply
    453,822.09x = 680,574.42 × 133,889.01
  4. Step 4: Simplify right side
    453,822.09x = 91,121,435,325.12
  5. Step 5: Solve for x
    x = 91,121,435,325.12/453,822.09
  6. Step 6: Final answer
    x = 200,786.69

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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.