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Finding the Fourth Proportional to 128,902.94, 193,328.67 and 43,505.45

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Solution

The fourth proportional to 128,902.94, 193,328.67 and 43,505.45 is: 65,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.94 : 193,328.67 = 43,505.45 : x
  2. Step 2: Convert to fraction form
    128,902.94/193,328.67 = 43,505.45/x
  3. Step 3: Cross multiply
    128,902.94x = 193,328.67 × 43,505.45
  4. Step 4: Simplify right side
    128,902.94x = 8,410,849,819.61
  5. Step 5: Solve for x
    x = 8,410,849,819.61/128,902.94
  6. Step 6: Final answer
    x = 65,249.48

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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.