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Finding the Fourth Proportional to 224,583.84, 309,907.06 and 127,761.94

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Solution

The fourth proportional to 224,583.84, 309,907.06 and 127,761.94 is: 176,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,583.84 : 309,907.06 = 127,761.94 : x
  2. Step 2: Convert to fraction form
    224,583.84/309,907.06 = 127,761.94/x
  3. Step 3: Cross multiply
    224,583.84x = 309,907.06 × 127,761.94
  4. Step 4: Simplify right side
    224,583.84x = 39,594,327,205.30
  5. Step 5: Solve for x
    x = 39,594,327,205.30/224,583.84
  6. Step 6: Final answer
    x = 176,300.87

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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.