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Finding the Fourth Proportional to 186,036.80, 256,727.76 and 101,156

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Solution

The fourth proportional to 186,036.80, 256,727.76 and 101,156 is: 139,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,036.80 : 256,727.76 = 101,156 : x
  2. Step 2: Convert to fraction form
    186,036.80/256,727.76 = 101,156/x
  3. Step 3: Cross multiply
    186,036.80x = 256,727.76 × 101,156
  4. Step 4: Simplify right side
    186,036.80x = 25,969,553,290.56
  5. Step 5: Solve for x
    x = 25,969,553,290.56/186,036.80
  6. Step 6: Final answer
    x = 139,593.64

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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.