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Finding the Fourth Proportional to 204,832.44, 307,248.66 and 64,602

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Solution

The fourth proportional to 204,832.44, 307,248.66 and 64,602 is: 96,903

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,832.44 : 307,248.66 = 64,602 : x
  2. Step 2: Convert to fraction form
    204,832.44/307,248.66 = 64,602/x
  3. Step 3: Cross multiply
    204,832.44x = 307,248.66 × 64,602
  4. Step 4: Simplify right side
    204,832.44x = 19,848,877,933.32
  5. Step 5: Solve for x
    x = 19,848,877,933.32/204,832.44
  6. Step 6: Final answer
    x = 96,903

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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.