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Finding the Fourth Proportional to 228,078.36, 314,735.40 and 126,097.88

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Solution

The fourth proportional to 228,078.36, 314,735.40 and 126,097.88 is: 174,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.36 : 314,735.40 = 126,097.88 : x
  2. Step 2: Convert to fraction form
    228,078.36/314,735.40 = 126,097.88/x
  3. Step 3: Cross multiply
    228,078.36x = 314,735.40 × 126,097.88
  4. Step 4: Simplify right side
    228,078.36x = 39,687,465,127.28
  5. Step 5: Solve for x
    x = 39,687,465,127.28/228,078.36
  6. Step 6: Final answer
    x = 174,008.03

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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.