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Finding the Fourth Proportional to 126,196.38, 174,059.55 and 85,838.49

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Solution

The fourth proportional to 126,196.38, 174,059.55 and 85,838.49 is: 118,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,196.38 : 174,059.55 = 85,838.49 : x
  2. Step 2: Convert to fraction form
    126,196.38/174,059.55 = 85,838.49/x
  3. Step 3: Cross multiply
    126,196.38x = 174,059.55 × 85,838.49
  4. Step 4: Simplify right side
    126,196.38x = 14,941,008,942.08
  5. Step 5: Solve for x
    x = 14,941,008,942.08/126,196.38
  6. Step 6: Final answer
    x = 118,394.91

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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.