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Finding the Fourth Proportional to 128,782.86, 177,716.30 and 75,070.14

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Solution

The fourth proportional to 128,782.86, 177,716.30 and 75,070.14 is: 103,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,782.86 : 177,716.30 = 75,070.14 : x
  2. Step 2: Convert to fraction form
    128,782.86/177,716.30 = 75,070.14/x
  3. Step 3: Cross multiply
    128,782.86x = 177,716.30 × 75,070.14
  4. Step 4: Simplify right side
    128,782.86x = 13,341,188,112.55
  5. Step 5: Solve for x
    x = 13,341,188,112.55/128,782.86
  6. Step 6: Final answer
    x = 103,594.44

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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.