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Finding the Fourth Proportional to 133,809.41, 200,714.11 and 45,055.48

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Solution

The fourth proportional to 133,809.41, 200,714.11 and 45,055.48 is: 67,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.41 : 200,714.11 = 45,055.48 : x
  2. Step 2: Convert to fraction form
    133,809.41/200,714.11 = 45,055.48/x
  3. Step 3: Cross multiply
    133,809.41x = 200,714.11 × 45,055.48
  4. Step 4: Simplify right side
    133,809.41x = 9,043,270,568.82
  5. Step 5: Solve for x
    x = 9,043,270,568.82/133,809.41
  6. Step 6: Final answer
    x = 67,583.22

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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.