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Finding the Fourth Proportional to 192,311.93, 288,434.59 and 52,037.75

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Solution

The fourth proportional to 192,311.93, 288,434.59 and 52,037.75 is: 78,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,311.93 : 288,434.59 = 52,037.75 : x
  2. Step 2: Convert to fraction form
    192,311.93/288,434.59 = 52,037.75/x
  3. Step 3: Cross multiply
    192,311.93x = 288,434.59 × 52,037.75
  4. Step 4: Simplify right side
    192,311.93x = 15,009,487,676.76
  5. Step 5: Solve for x
    x = 15,009,487,676.76/192,311.93
  6. Step 6: Final answer
    x = 78,047.62

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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.