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Finding the Fourth Proportional to 296,145.29, 444,114 and 82,855.89

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Solution

The fourth proportional to 296,145.29, 444,114 and 82,855.89 is: 124,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,145.29 : 444,114 = 82,855.89 : x
  2. Step 2: Convert to fraction form
    296,145.29/444,114 = 82,855.89/x
  3. Step 3: Cross multiply
    296,145.29x = 444,114 × 82,855.89
  4. Step 4: Simplify right side
    296,145.29x = 36,797,460,731.46
  5. Step 5: Solve for x
    x = 36,797,460,731.46/296,145.29
  6. Step 6: Final answer
    x = 124,254.75

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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.