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Finding the Fourth Proportional to 116,348.56, 160,556.80 and 71,102.24

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Solution

The fourth proportional to 116,348.56, 160,556.80 and 71,102.24 is: 98,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,348.56 : 160,556.80 = 71,102.24 : x
  2. Step 2: Convert to fraction form
    116,348.56/160,556.80 = 71,102.24/x
  3. Step 3: Cross multiply
    116,348.56x = 160,556.80 × 71,102.24
  4. Step 4: Simplify right side
    116,348.56x = 11,415,948,127.23
  5. Step 5: Solve for x
    x = 11,415,948,127.23/116,348.56
  6. Step 6: Final answer
    x = 98,118.52

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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.