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Finding the Fourth Proportional to 133,752.44, 200,654.88 and 49,513.32

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Solution

The fourth proportional to 133,752.44, 200,654.88 and 49,513.32 is: 74,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,752.44 : 200,654.88 = 49,513.32 : x
  2. Step 2: Convert to fraction form
    133,752.44/200,654.88 = 49,513.32/x
  3. Step 3: Cross multiply
    133,752.44x = 200,654.88 × 49,513.32
  4. Step 4: Simplify right side
    133,752.44x = 9,935,089,097.33
  5. Step 5: Solve for x
    x = 9,935,089,097.33/133,752.44
  6. Step 6: Final answer
    x = 74,279.68

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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.