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Finding the Fourth Proportional to 133,495.70, 200,243.54 and 33,655.50

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Solution

The fourth proportional to 133,495.70, 200,243.54 and 33,655.50 is: 50,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,495.70 : 200,243.54 = 33,655.50 : x
  2. Step 2: Convert to fraction form
    133,495.70/200,243.54 = 33,655.50/x
  3. Step 3: Cross multiply
    133,495.70x = 200,243.54 × 33,655.50
  4. Step 4: Simplify right side
    133,495.70x = 6,739,296,544.61
  5. Step 5: Solve for x
    x = 6,739,296,544.61/133,495.70
  6. Step 6: Final answer
    x = 50,483.25

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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.