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Finding the Fourth Proportional to 214,015.56, 321,076.59 and 64,258.50

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Solution

The fourth proportional to 214,015.56, 321,076.59 and 64,258.50 is: 96,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,015.56 : 321,076.59 = 64,258.50 : x
  2. Step 2: Convert to fraction form
    214,015.56/321,076.59 = 64,258.50/x
  3. Step 3: Cross multiply
    214,015.56x = 321,076.59 × 64,258.50
  4. Step 4: Simplify right side
    214,015.56x = 20,631,900,058.52
  5. Step 5: Solve for x
    x = 20,631,900,058.52/214,015.56
  6. Step 6: Final answer
    x = 96,403.74

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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.