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Finding the Fourth Proportional to 128,915.87, 177,760.08 and 83,534.22

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Solution

The fourth proportional to 128,915.87, 177,760.08 and 83,534.22 is: 115,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,915.87 : 177,760.08 = 83,534.22 : x
  2. Step 2: Convert to fraction form
    128,915.87/177,760.08 = 83,534.22/x
  3. Step 3: Cross multiply
    128,915.87x = 177,760.08 × 83,534.22
  4. Step 4: Simplify right side
    128,915.87x = 14,849,049,629.94
  5. Step 5: Solve for x
    x = 14,849,049,629.94/128,915.87
  6. Step 6: Final answer
    x = 115,184.04

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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.