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Finding the Fourth Proportional to 216,056.73, 298,175.27 and 119,279.82

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Solution

The fourth proportional to 216,056.73, 298,175.27 and 119,279.82 is: 164,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,056.73 : 298,175.27 = 119,279.82 : x
  2. Step 2: Convert to fraction form
    216,056.73/298,175.27 = 119,279.82/x
  3. Step 3: Cross multiply
    216,056.73x = 298,175.27 × 119,279.82
  4. Step 4: Simplify right side
    216,056.73x = 35,566,292,534.05
  5. Step 5: Solve for x
    x = 35,566,292,534.05/216,056.73
  6. Step 6: Final answer
    x = 164,615.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.