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Finding the Fourth Proportional to 205,076.70, 307,615.05 and 111,534.30

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Solution

The fourth proportional to 205,076.70, 307,615.05 and 111,534.30 is: 167,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,076.70 : 307,615.05 = 111,534.30 : x
  2. Step 2: Convert to fraction form
    205,076.70/307,615.05 = 111,534.30/x
  3. Step 3: Cross multiply
    205,076.70x = 307,615.05 × 111,534.30
  4. Step 4: Simplify right side
    205,076.70x = 34,309,629,271.22
  5. Step 5: Solve for x
    x = 34,309,629,271.22/205,076.70
  6. Step 6: Final answer
    x = 167,301.45

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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.