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Finding the Fourth Proportional to 224,321.43, 309,564 and 122,347.02

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Solution

The fourth proportional to 224,321.43, 309,564 and 122,347.02 is: 168,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,321.43 : 309,564 = 122,347.02 : x
  2. Step 2: Convert to fraction form
    224,321.43/309,564 = 122,347.02/x
  3. Step 3: Cross multiply
    224,321.43x = 309,564 × 122,347.02
  4. Step 4: Simplify right side
    224,321.43x = 37,874,232,899.28
  5. Step 5: Solve for x
    x = 37,874,232,899.28/224,321.43
  6. Step 6: Final answer
    x = 168,839.12

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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.