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Finding the Fourth Proportional to 296,094.54, 444,311.12 and 125,302.80

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Solution

The fourth proportional to 296,094.54, 444,311.12 and 125,302.80 is: 188,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,094.54 : 444,311.12 = 125,302.80 : x
  2. Step 2: Convert to fraction form
    296,094.54/444,311.12 = 125,302.80/x
  3. Step 3: Cross multiply
    296,094.54x = 444,311.12 × 125,302.80
  4. Step 4: Simplify right side
    296,094.54x = 55,673,427,407.14
  5. Step 5: Solve for x
    x = 55,673,427,407.14/296,094.54
  6. Step 6: Final answer
    x = 188,025.85

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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.