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Finding the Fourth Proportional to 116,348.07, 160,556.07 and 71,101.80

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Solution

The fourth proportional to 116,348.07, 160,556.07 and 71,101.80 is: 98,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,348.07 : 160,556.07 = 71,101.80 : x
  2. Step 2: Convert to fraction form
    116,348.07/160,556.07 = 71,101.80/x
  3. Step 3: Cross multiply
    116,348.07x = 160,556.07 × 71,101.80
  4. Step 4: Simplify right side
    116,348.07x = 11,415,825,577.93
  5. Step 5: Solve for x
    x = 11,415,825,577.93/116,348.07
  6. Step 6: Final answer
    x = 98,117.88

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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.