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Finding the Fourth Proportional to 204,913.36, 307,419.44 and 64,671.56

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Solution

The fourth proportional to 204,913.36, 307,419.44 and 64,671.56 is: 97,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,913.36 : 307,419.44 = 64,671.56 : x
  2. Step 2: Convert to fraction form
    204,913.36/307,419.44 = 64,671.56/x
  3. Step 3: Cross multiply
    204,913.36x = 307,419.44 × 64,671.56
  4. Step 4: Simplify right side
    204,913.36x = 19,881,294,759.13
  5. Step 5: Solve for x
    x = 19,881,294,759.13/204,913.36
  6. Step 6: Final answer
    x = 97,022.93

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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.