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Finding the Fourth Proportional to 204,458.00, 306,749.76 and 104,688.23

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Solution

The fourth proportional to 204,458.00, 306,749.76 and 104,688.23 is: 157,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,458.00 : 306,749.76 = 104,688.23 : x
  2. Step 2: Convert to fraction form
    204,458.00/306,749.76 = 104,688.23/x
  3. Step 3: Cross multiply
    204,458.00x = 306,749.76 × 104,688.23
  4. Step 4: Simplify right side
    204,458.00x = 32,113,087,893.58
  5. Step 5: Solve for x
    x = 32,113,087,893.58/204,458.00
  6. Step 6: Final answer
    x = 157,064.48

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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.