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Finding the Fourth Proportional to 289,105.80, 433,691.10 and 89,424.60

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Solution

The fourth proportional to 289,105.80, 433,691.10 and 89,424.60 is: 134,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,105.80 : 433,691.10 = 89,424.60 : x
  2. Step 2: Convert to fraction form
    289,105.80/433,691.10 = 89,424.60/x
  3. Step 3: Cross multiply
    289,105.80x = 433,691.10 × 89,424.60
  4. Step 4: Simplify right side
    289,105.80x = 38,782,653,141.06
  5. Step 5: Solve for x
    x = 38,782,653,141.06/289,105.80
  6. Step 6: Final answer
    x = 134,146.92

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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.