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Finding the Fourth Proportional to 128,375, 177,097.86 and 83,067.60

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Solution

The fourth proportional to 128,375, 177,097.86 and 83,067.60 is: 114,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,375 : 177,097.86 = 83,067.60 : x
  2. Step 2: Convert to fraction form
    128,375/177,097.86 = 83,067.60/x
  3. Step 3: Cross multiply
    128,375x = 177,097.86 × 83,067.60
  4. Step 4: Simplify right side
    128,375x = 14,711,094,195.34
  5. Step 5: Solve for x
    x = 14,711,094,195.34/128,375
  6. Step 6: Final answer
    x = 114,594.70

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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.