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Finding the Fourth Proportional to 224,579.94, 309,901.70 and 127,758.03

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Solution

The fourth proportional to 224,579.94, 309,901.70 and 127,758.03 is: 176,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,579.94 : 309,901.70 = 127,758.03 : x
  2. Step 2: Convert to fraction form
    224,579.94/309,901.70 = 127,758.03/x
  3. Step 3: Cross multiply
    224,579.94x = 309,901.70 × 127,758.03
  4. Step 4: Simplify right side
    224,579.94x = 39,592,430,046.86
  5. Step 5: Solve for x
    x = 39,592,430,046.86/224,579.94
  6. Step 6: Final answer
    x = 176,295.49

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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.