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Finding the Fourth Proportional to 289,168.33, 433,772.77 and 89,462.42

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Solution

The fourth proportional to 289,168.33, 433,772.77 and 89,462.42 is: 134,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,168.33 : 433,772.77 = 89,462.42 : x
  2. Step 2: Convert to fraction form
    289,168.33/433,772.77 = 89,462.42/x
  3. Step 3: Cross multiply
    289,168.33x = 433,772.77 × 89,462.42
  4. Step 4: Simplify right side
    289,168.33x = 38,806,363,576.15
  5. Step 5: Solve for x
    x = 38,806,363,576.15/289,168.33
  6. Step 6: Final answer
    x = 134,199.91

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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.