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Finding the Fourth Proportional to 224,635.50, 309,744.27 and 183,671.82

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Solution

The fourth proportional to 224,635.50, 309,744.27 and 183,671.82 is: 253,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,635.50 : 309,744.27 = 183,671.82 : x
  2. Step 2: Convert to fraction form
    224,635.50/309,744.27 = 183,671.82/x
  3. Step 3: Cross multiply
    224,635.50x = 309,744.27 × 183,671.82
  4. Step 4: Simplify right side
    224,635.50x = 56,891,293,805.47
  5. Step 5: Solve for x
    x = 56,891,293,805.47/224,635.50
  6. Step 6: Final answer
    x = 253,260.48

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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.