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Finding the Fourth Proportional to 128,903.25, 177,883.81 and 71,539.24

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Solution

The fourth proportional to 128,903.25, 177,883.81 and 71,539.24 is: 98,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,903.25 : 177,883.81 = 71,539.24 : x
  2. Step 2: Convert to fraction form
    128,903.25/177,883.81 = 71,539.24/x
  3. Step 3: Cross multiply
    128,903.25x = 177,883.81 × 71,539.24
  4. Step 4: Simplify right side
    128,903.25x = 12,725,672,575.70
  5. Step 5: Solve for x
    x = 12,725,672,575.70/128,903.25
  6. Step 6: Final answer
    x = 98,722.67

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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.