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Finding the Fourth Proportional to 224,301.36, 309,532 and 122,327.64

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Solution

The fourth proportional to 224,301.36, 309,532 and 122,327.64 is: 168,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,301.36 : 309,532 = 122,327.64 : x
  2. Step 2: Convert to fraction form
    224,301.36/309,532 = 122,327.64/x
  3. Step 3: Cross multiply
    224,301.36x = 309,532 × 122,327.64
  4. Step 4: Simplify right side
    224,301.36x = 37,864,319,064.48
  5. Step 5: Solve for x
    x = 37,864,319,064.48/224,301.36
  6. Step 6: Final answer
    x = 168,810.03

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1.5x scale

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.