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Finding the Fourth Proportional to 200,460.62, 276,558.50 and 114,424.45

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Solution

The fourth proportional to 200,460.62, 276,558.50 and 114,424.45 is: 157,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,460.62 : 276,558.50 = 114,424.45 : x
  2. Step 2: Convert to fraction form
    200,460.62/276,558.50 = 114,424.45/x
  3. Step 3: Cross multiply
    200,460.62x = 276,558.50 × 114,424.45
  4. Step 4: Simplify right side
    200,460.62x = 31,645,053,849.99
  5. Step 5: Solve for x
    x = 31,645,053,849.99/200,460.62
  6. Step 6: Final answer
    x = 157,861.70

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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.