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Finding the Fourth Proportional to 224,083.63, 309,216.38 and 128,588.28

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Solution

The fourth proportional to 224,083.63, 309,216.38 and 128,588.28 is: 177,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,083.63 : 309,216.38 = 128,588.28 : x
  2. Step 2: Convert to fraction form
    224,083.63/309,216.38 = 128,588.28/x
  3. Step 3: Cross multiply
    224,083.63x = 309,216.38 × 128,588.28
  4. Step 4: Simplify right side
    224,083.63x = 39,761,602,452.03
  5. Step 5: Solve for x
    x = 39,761,602,452.03/224,083.63
  6. Step 6: Final answer
    x = 177,440.91

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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.