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Finding the Fourth Proportional to 223,228.14, 307,968 and 126,409.77

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Solution

The fourth proportional to 223,228.14, 307,968 and 126,409.77 is: 174,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,228.14 : 307,968 = 126,409.77 : x
  2. Step 2: Convert to fraction form
    223,228.14/307,968 = 126,409.77/x
  3. Step 3: Cross multiply
    223,228.14x = 307,968 × 126,409.77
  4. Step 4: Simplify right side
    223,228.14x = 38,930,164,047.36
  5. Step 5: Solve for x
    x = 38,930,164,047.36/223,228.14
  6. Step 6: Final answer
    x = 174,396.31

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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.