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Finding the Fourth Proportional to 128,665.16, 177,610.02 and 83,382.01

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Solution

The fourth proportional to 128,665.16, 177,610.02 and 83,382.01 is: 115,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,665.16 : 177,610.02 = 83,382.01 : x
  2. Step 2: Convert to fraction form
    128,665.16/177,610.02 = 83,382.01/x
  3. Step 3: Cross multiply
    128,665.16x = 177,610.02 × 83,382.01
  4. Step 4: Simplify right side
    128,665.16x = 14,809,479,707.03
  5. Step 5: Solve for x
    x = 14,809,479,707.03/128,665.16
  6. Step 6: Final answer
    x = 115,100.93

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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.