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Finding the Fourth Proportional to 116,064, 174,097.92 and 50,400

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Solution

The fourth proportional to 116,064, 174,097.92 and 50,400 is: 75,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,064 : 174,097.92 = 50,400 : x
  2. Step 2: Convert to fraction form
    116,064/174,097.92 = 50,400/x
  3. Step 3: Cross multiply
    116,064x = 174,097.92 × 50,400
  4. Step 4: Simplify right side
    116,064x = 8,774,535,168
  5. Step 5: Solve for x
    x = 8,774,535,168/116,064
  6. Step 6: Final answer
    x = 75,600.83

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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.