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Finding the Fourth Proportional to 133,736.68, 200,682.78 and 105,483.88

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Solution

The fourth proportional to 133,736.68, 200,682.78 and 105,483.88 is: 158,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,736.68 : 200,682.78 = 105,483.88 : x
  2. Step 2: Convert to fraction form
    133,736.68/200,682.78 = 105,483.88/x
  3. Step 3: Cross multiply
    133,736.68x = 200,682.78 × 105,483.88
  4. Step 4: Simplify right side
    133,736.68x = 21,168,798,283.59
  5. Step 5: Solve for x
    x = 21,168,798,283.59/133,736.68
  6. Step 6: Final answer
    x = 158,287.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.