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Finding the Fourth Proportional to 186,414.71, 257,164.35 and 126,006.44

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Solution

The fourth proportional to 186,414.71, 257,164.35 and 126,006.44 is: 173,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,414.71 : 257,164.35 = 126,006.44 : x
  2. Step 2: Convert to fraction form
    186,414.71/257,164.35 = 126,006.44/x
  3. Step 3: Cross multiply
    186,414.71x = 257,164.35 × 126,006.44
  4. Step 4: Simplify right side
    186,414.71x = 32,404,364,238.41
  5. Step 5: Solve for x
    x = 32,404,364,238.41/186,414.71
  6. Step 6: Final answer
    x = 173,829.44

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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.