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Finding the Fourth Proportional to 133,021.28, 183,600.78 and 76,465.46

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Solution

The fourth proportional to 133,021.28, 183,600.78 and 76,465.46 is: 105,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.28 : 183,600.78 = 76,465.46 : x
  2. Step 2: Convert to fraction form
    133,021.28/183,600.78 = 76,465.46/x
  3. Step 3: Cross multiply
    133,021.28x = 183,600.78 × 76,465.46
  4. Step 4: Simplify right side
    133,021.28x = 14,039,118,099.06
  5. Step 5: Solve for x
    x = 14,039,118,099.06/133,021.28
  6. Step 6: Final answer
    x = 105,540.39

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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.