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Finding the Fourth Proportional to 321,794.00, 482,769.03 and 97,141.01

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Solution

The fourth proportional to 321,794.00, 482,769.03 and 97,141.01 is: 145,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,794.00 : 482,769.03 = 97,141.01 : x
  2. Step 2: Convert to fraction form
    321,794.00/482,769.03 = 97,141.01/x
  3. Step 3: Cross multiply
    321,794.00x = 482,769.03 × 97,141.01
  4. Step 4: Simplify right side
    321,794.00x = 46,896,668,757.08
  5. Step 5: Solve for x
    x = 46,896,668,757.08/321,794.00
  6. Step 6: Final answer
    x = 145,735.06

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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.