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Finding the Fourth Proportional to 214,241.84, 321,298.06 and 64,442.36

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Solution

The fourth proportional to 214,241.84, 321,298.06 and 64,442.36 is: 96,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,241.84 : 321,298.06 = 64,442.36 : x
  2. Step 2: Convert to fraction form
    214,241.84/321,298.06 = 64,442.36/x
  3. Step 3: Cross multiply
    214,241.84x = 321,298.06 × 64,442.36
  4. Step 4: Simplify right side
    214,241.84x = 20,705,205,249.82
  5. Step 5: Solve for x
    x = 20,705,205,249.82/214,241.84
  6. Step 6: Final answer
    x = 96,644.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.