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Finding the Fourth Proportional to 154,069, 231,122.94 and 52,886.77

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Solution

The fourth proportional to 154,069, 231,122.94 and 52,886.77 is: 79,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,069 : 231,122.94 = 52,886.77 : x
  2. Step 2: Convert to fraction form
    154,069/231,122.94 = 52,886.77/x
  3. Step 3: Cross multiply
    154,069x = 231,122.94 × 52,886.77
  4. Step 4: Simplify right side
    154,069x = 12,223,345,769.50
  5. Step 5: Solve for x
    x = 12,223,345,769.50/154,069
  6. Step 6: Final answer
    x = 79,336.83

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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.