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Finding the Fourth Proportional to 147,266.82, 220,783.14 and 64,102.50

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Solution

The fourth proportional to 147,266.82, 220,783.14 and 64,102.50 is: 96,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,266.82 : 220,783.14 = 64,102.50 : x
  2. Step 2: Convert to fraction form
    147,266.82/220,783.14 = 64,102.50/x
  3. Step 3: Cross multiply
    147,266.82x = 220,783.14 × 64,102.50
  4. Step 4: Simplify right side
    147,266.82x = 14,152,751,231.85
  5. Step 5: Solve for x
    x = 14,152,751,231.85/147,266.82
  6. Step 6: Final answer
    x = 96,102.78

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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.