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Finding the Fourth Proportional to 289,902.50, 434,894.77 and 90,243.07

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Solution

The fourth proportional to 289,902.50, 434,894.77 and 90,243.07 is: 135,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,902.50 : 434,894.77 = 90,243.07 : x
  2. Step 2: Convert to fraction form
    289,902.50/434,894.77 = 90,243.07/x
  3. Step 3: Cross multiply
    289,902.50x = 434,894.77 × 90,243.07
  4. Step 4: Simplify right side
    289,902.50x = 39,246,238,197.31
  5. Step 5: Solve for x
    x = 39,246,238,197.31/289,902.50
  6. Step 6: Final answer
    x = 135,377.37

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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.