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Finding the Fourth Proportional to 128,414.81, 177,202.81 and 71,815.25

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Solution

The fourth proportional to 128,414.81, 177,202.81 and 71,815.25 is: 99,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414.81 : 177,202.81 = 71,815.25 : x
  2. Step 2: Convert to fraction form
    128,414.81/177,202.81 = 71,815.25/x
  3. Step 3: Cross multiply
    128,414.81x = 177,202.81 × 71,815.25
  4. Step 4: Simplify right side
    128,414.81x = 12,725,864,100.85
  5. Step 5: Solve for x
    x = 12,725,864,100.85/128,414.81
  6. Step 6: Final answer
    x = 99,099.66

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1.5x scale

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.