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Finding the Fourth Proportional to 128,350.83, 177,186.02 and 85,401.80

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Solution

The fourth proportional to 128,350.83, 177,186.02 and 85,401.80 is: 117,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,350.83 : 177,186.02 = 85,401.80 : x
  2. Step 2: Convert to fraction form
    128,350.83/177,186.02 = 85,401.80/x
  3. Step 3: Cross multiply
    128,350.83x = 177,186.02 × 85,401.80
  4. Step 4: Simplify right side
    128,350.83x = 15,132,003,729.90
  5. Step 5: Solve for x
    x = 15,132,003,729.90/128,350.83
  6. Step 6: Final answer
    x = 117,895.64

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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.