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Finding the Fourth Proportional to 133,099.92, 183,681.90 and 75,747.46

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Solution

The fourth proportional to 133,099.92, 183,681.90 and 75,747.46 is: 104,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099.92 : 183,681.90 = 75,747.46 : x
  2. Step 2: Convert to fraction form
    133,099.92/183,681.90 = 75,747.46/x
  3. Step 3: Cross multiply
    133,099.92x = 183,681.90 × 75,747.46
  4. Step 4: Simplify right side
    133,099.92x = 13,913,437,372.97
  5. Step 5: Solve for x
    x = 13,913,437,372.97/133,099.92
  6. Step 6: Final answer
    x = 104,533.78

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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.