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Finding the Fourth Proportional to 128,412.81, 177,200.06 and 71,813.25

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Solution

The fourth proportional to 128,412.81, 177,200.06 and 71,813.25 is: 99,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412.81 : 177,200.06 = 71,813.25 : x
  2. Step 2: Convert to fraction form
    128,412.81/177,200.06 = 71,813.25/x
  3. Step 3: Cross multiply
    128,412.81x = 177,200.06 × 71,813.25
  4. Step 4: Simplify right side
    128,412.81x = 12,725,311,849.73
  5. Step 5: Solve for x
    x = 12,725,311,849.73/128,412.81
  6. Step 6: Final answer
    x = 99,096.90

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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.