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Finding the Fourth Proportional to 128,862.56, 177,908.10 and 84,228.32

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Solution

The fourth proportional to 128,862.56, 177,908.10 and 84,228.32 is: 116,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,862.56 : 177,908.10 = 84,228.32 : x
  2. Step 2: Convert to fraction form
    128,862.56/177,908.10 = 84,228.32/x
  3. Step 3: Cross multiply
    128,862.56x = 177,908.10 × 84,228.32
  4. Step 4: Simplify right side
    128,862.56x = 14,984,900,506.31
  5. Step 5: Solve for x
    x = 14,984,900,506.31/128,862.56
  6. Step 6: Final answer
    x = 116,285.91

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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.