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Finding the Fourth Proportional to 205,228.50, 307,842.75 and 55,457.30

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Solution

The fourth proportional to 205,228.50, 307,842.75 and 55,457.30 is: 83,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,228.50 : 307,842.75 = 55,457.30 : x
  2. Step 2: Convert to fraction form
    205,228.50/307,842.75 = 55,457.30/x
  3. Step 3: Cross multiply
    205,228.50x = 307,842.75 × 55,457.30
  4. Step 4: Simplify right side
    205,228.50x = 17,072,126,200.36
  5. Step 5: Solve for x
    x = 17,072,126,200.36/205,228.50
  6. Step 6: Final answer
    x = 83,185.94

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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.