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Finding the Fourth Proportional to 289,628.69, 434,501.55 and 100,095.98

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Solution

The fourth proportional to 289,628.69, 434,501.55 and 100,095.98 is: 150,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,628.69 : 434,501.55 = 100,095.98 : x
  2. Step 2: Convert to fraction form
    289,628.69/434,501.55 = 100,095.98/x
  3. Step 3: Cross multiply
    289,628.69x = 434,501.55 × 100,095.98
  4. Step 4: Simplify right side
    289,628.69x = 43,491,856,286.26
  5. Step 5: Solve for x
    x = 43,491,856,286.26/289,628.69
  6. Step 6: Final answer
    x = 150,164.19

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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.