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Finding the Fourth Proportional to 217,564.32, 300,313.68 and 137,127.36

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Solution

The fourth proportional to 217,564.32, 300,313.68 and 137,127.36 is: 189,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,564.32 : 300,313.68 = 137,127.36 : x
  2. Step 2: Convert to fraction form
    217,564.32/300,313.68 = 137,127.36/x
  3. Step 3: Cross multiply
    217,564.32x = 300,313.68 × 137,127.36
  4. Step 4: Simplify right side
    217,564.32x = 41,181,222,110.28
  5. Step 5: Solve for x
    x = 41,181,222,110.28/217,564.32
  6. Step 6: Final answer
    x = 189,282.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.