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Finding the Fourth Proportional to 186,634.96, 257,588.18 and 129,357.43

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Solution

The fourth proportional to 186,634.96, 257,588.18 and 129,357.43 is: 178,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,634.96 : 257,588.18 = 129,357.43 : x
  2. Step 2: Convert to fraction form
    186,634.96/257,588.18 = 129,357.43/x
  3. Step 3: Cross multiply
    186,634.96x = 257,588.18 × 129,357.43
  4. Step 4: Simplify right side
    186,634.96x = 33,320,944,963.18
  5. Step 5: Solve for x
    x = 33,320,944,963.18/186,634.96
  6. Step 6: Final answer
    x = 178,535.39

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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.