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Finding the Fourth Proportional to 369,825.75, 510,363.18 and 200,063.52

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Solution

The fourth proportional to 369,825.75, 510,363.18 and 200,063.52 is: 276,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,825.75 : 510,363.18 = 200,063.52 : x
  2. Step 2: Convert to fraction form
    369,825.75/510,363.18 = 200,063.52/x
  3. Step 3: Cross multiply
    369,825.75x = 510,363.18 × 200,063.52
  4. Step 4: Simplify right side
    369,825.75x = 102,105,054,269.19
  5. Step 5: Solve for x
    x = 102,105,054,269.19/369,825.75
  6. Step 6: Final answer
    x = 276,089.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.