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Finding the Fourth Proportional to 224,241.36, 309,438.36 and 123,640.08

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Solution

The fourth proportional to 224,241.36, 309,438.36 and 123,640.08 is: 170,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,241.36 : 309,438.36 = 123,640.08 : x
  2. Step 2: Convert to fraction form
    224,241.36/309,438.36 = 123,640.08/x
  3. Step 3: Cross multiply
    224,241.36x = 309,438.36 × 123,640.08
  4. Step 4: Simplify right side
    224,241.36x = 38,258,983,585.47
  5. Step 5: Solve for x
    x = 38,258,983,585.47/224,241.36
  6. Step 6: Final answer
    x = 170,615.20

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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.