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Finding the Fourth Proportional to 227,978.83, 314,627.07 and 126,002.10

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Solution

The fourth proportional to 227,978.83, 314,627.07 and 126,002.10 is: 173,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.83 : 314,627.07 = 126,002.10 : x
  2. Step 2: Convert to fraction form
    227,978.83/314,627.07 = 126,002.10/x
  3. Step 3: Cross multiply
    227,978.83x = 314,627.07 × 126,002.10
  4. Step 4: Simplify right side
    227,978.83x = 39,643,671,221.84
  5. Step 5: Solve for x
    x = 39,643,671,221.84/227,978.83
  6. Step 6: Final answer
    x = 173,891.90

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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.