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Finding the Fourth Proportional to 204,326.90, 306,477.90 and 97,786.59

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Solution

The fourth proportional to 204,326.90, 306,477.90 and 97,786.59 is: 146,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,326.90 : 306,477.90 = 97,786.59 : x
  2. Step 2: Convert to fraction form
    204,326.90/306,477.90 = 97,786.59/x
  3. Step 3: Cross multiply
    204,326.90x = 306,477.90 × 97,786.59
  4. Step 4: Simplify right side
    204,326.90x = 29,969,428,751.36
  5. Step 5: Solve for x
    x = 29,969,428,751.36/204,326.90
  6. Step 6: Final answer
    x = 146,673.93

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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.