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Finding the Fourth Proportional to 228,102.80, 314,769.12 and 126,122.36

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Solution

The fourth proportional to 228,102.80, 314,769.12 and 126,122.36 is: 174,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,102.80 : 314,769.12 = 126,122.36 : x
  2. Step 2: Convert to fraction form
    228,102.80/314,769.12 = 126,122.36/x
  3. Step 3: Cross multiply
    228,102.80x = 314,769.12 × 126,122.36
  4. Step 4: Simplify right side
    228,102.80x = 39,699,424,269.52
  5. Step 5: Solve for x
    x = 39,699,424,269.52/228,102.80
  6. Step 6: Final answer
    x = 174,041.81

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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.