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Finding the Fourth Proportional to 133,043, 199,597.38 and 39,548.36

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Solution

The fourth proportional to 133,043, 199,597.38 and 39,548.36 is: 59,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 199,597.38 = 39,548.36 : x
  2. Step 2: Convert to fraction form
    133,043/199,597.38 = 39,548.36/x
  3. Step 3: Cross multiply
    133,043x = 199,597.38 × 39,548.36
  4. Step 4: Simplify right side
    133,043x = 7,893,749,039.30
  5. Step 5: Solve for x
    x = 7,893,749,039.30/133,043
  6. Step 6: Final answer
    x = 59,332.31

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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.