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Finding the Fourth Proportional to 128,591.63, 177,418.06 and 83,197.72

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Solution

The fourth proportional to 128,591.63, 177,418.06 and 83,197.72 is: 114,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,591.63 : 177,418.06 = 83,197.72 : x
  2. Step 2: Convert to fraction form
    128,591.63/177,418.06 = 83,197.72/x
  3. Step 3: Cross multiply
    128,591.63x = 177,418.06 × 83,197.72
  4. Step 4: Simplify right side
    128,591.63x = 14,760,777,562.61
  5. Step 5: Solve for x
    x = 14,760,777,562.61/128,591.63
  6. Step 6: Final answer
    x = 114,788.01

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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.