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Finding the Fourth Proportional to 227,094.64, 313,404.60 and 126,492.64

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Solution

The fourth proportional to 227,094.64, 313,404.60 and 126,492.64 is: 174,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,094.64 : 313,404.60 = 126,492.64 : x
  2. Step 2: Convert to fraction form
    227,094.64/313,404.60 = 126,492.64/x
  3. Step 3: Cross multiply
    227,094.64x = 313,404.60 × 126,492.64
  4. Step 4: Simplify right side
    227,094.64x = 39,643,375,242.14
  5. Step 5: Solve for x
    x = 39,643,375,242.14/227,094.64
  6. Step 6: Final answer
    x = 174,567.64

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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.