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Finding the Fourth Proportional to 321,140.74, 481,594.76 and 107,844.84

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Solution

The fourth proportional to 321,140.74, 481,594.76 and 107,844.84 is: 161,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,140.74 : 481,594.76 = 107,844.84 : x
  2. Step 2: Convert to fraction form
    321,140.74/481,594.76 = 107,844.84/x
  3. Step 3: Cross multiply
    321,140.74x = 481,594.76 × 107,844.84
  4. Step 4: Simplify right side
    321,140.74x = 51,937,509,837.04
  5. Step 5: Solve for x
    x = 51,937,509,837.04/321,140.74
  6. Step 6: Final answer
    x = 161,728.19

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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.