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Finding the Fourth Proportional to 193,128.40, 289,606.20 and 87,893.20

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Solution

The fourth proportional to 193,128.40, 289,606.20 and 87,893.20 is: 131,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,128.40 : 289,606.20 = 87,893.20 : x
  2. Step 2: Convert to fraction form
    193,128.40/289,606.20 = 87,893.20/x
  3. Step 3: Cross multiply
    193,128.40x = 289,606.20 × 87,893.20
  4. Step 4: Simplify right side
    193,128.40x = 25,454,415,657.84
  5. Step 5: Solve for x
    x = 25,454,415,657.84/193,128.40
  6. Step 6: Final answer
    x = 131,800.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.