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Finding the Fourth Proportional to 224,244, 309,478.56 and 123,642

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Solution

The fourth proportional to 224,244, 309,478.56 and 123,642 is: 170,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,244 : 309,478.56 = 123,642 : x
  2. Step 2: Convert to fraction form
    224,244/309,478.56 = 123,642/x
  3. Step 3: Cross multiply
    224,244x = 309,478.56 × 123,642
  4. Step 4: Simplify right side
    224,244x = 38,264,548,115.52
  5. Step 5: Solve for x
    x = 38,264,548,115.52/224,244
  6. Step 6: Final answer
    x = 170,638.00

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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.