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Finding the Fourth Proportional to 128,481.34, 177,298.47 and 71,122.81

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Solution

The fourth proportional to 128,481.34, 177,298.47 and 71,122.81 is: 98,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,481.34 : 177,298.47 = 71,122.81 : x
  2. Step 2: Convert to fraction form
    128,481.34/177,298.47 = 71,122.81/x
  3. Step 3: Cross multiply
    128,481.34x = 177,298.47 × 71,122.81
  4. Step 4: Simplify right side
    128,481.34x = 12,609,965,395.10
  5. Step 5: Solve for x
    x = 12,609,965,395.10/128,481.34
  6. Step 6: Final answer
    x = 98,146.28

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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.