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Finding the Fourth Proportional to 128,363.41, 177,082.56 and 83,056.16

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Solution

The fourth proportional to 128,363.41, 177,082.56 and 83,056.16 is: 114,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,363.41 : 177,082.56 = 83,056.16 : x
  2. Step 2: Convert to fraction form
    128,363.41/177,082.56 = 83,056.16/x
  3. Step 3: Cross multiply
    128,363.41x = 177,082.56 × 83,056.16
  4. Step 4: Simplify right side
    128,363.41x = 14,707,797,436.57
  5. Step 5: Solve for x
    x = 14,707,797,436.57/128,363.41
  6. Step 6: Final answer
    x = 114,579.36

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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.