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Finding the Fourth Proportional to 203,127.92, 305,159 and 143,294.10

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Solution

The fourth proportional to 203,127.92, 305,159 and 143,294.10 is: 215,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,127.92 : 305,159 = 143,294.10 : x
  2. Step 2: Convert to fraction form
    203,127.92/305,159 = 143,294.10/x
  3. Step 3: Cross multiply
    203,127.92x = 305,159 × 143,294.10
  4. Step 4: Simplify right side
    203,127.92x = 43,727,484,261.90
  5. Step 5: Solve for x
    x = 43,727,484,261.90/203,127.92
  6. Step 6: Final answer
    x = 215,270.67

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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.