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Finding the Fourth Proportional to 128,426.94, 177,219.54 and 71,827.38

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Solution

The fourth proportional to 128,426.94, 177,219.54 and 71,827.38 is: 99,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,426.94 : 177,219.54 = 71,827.38 : x
  2. Step 2: Convert to fraction form
    128,426.94/177,219.54 = 71,827.38/x
  3. Step 3: Cross multiply
    128,426.94x = 177,219.54 × 71,827.38
  4. Step 4: Simplify right side
    128,426.94x = 12,729,215,243.01
  5. Step 5: Solve for x
    x = 12,729,215,243.01/128,426.94
  6. Step 6: Final answer
    x = 99,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.