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Finding the Fourth Proportional to 132,201, 182,437.38 and 72,588.84

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Solution

The fourth proportional to 132,201, 182,437.38 and 72,588.84 is: 100,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,201 : 182,437.38 = 72,588.84 : x
  2. Step 2: Convert to fraction form
    132,201/182,437.38 = 72,588.84/x
  3. Step 3: Cross multiply
    132,201x = 182,437.38 × 72,588.84
  4. Step 4: Simplify right side
    132,201x = 13,242,917,786.84
  5. Step 5: Solve for x
    x = 13,242,917,786.84/132,201
  6. Step 6: Final answer
    x = 100,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.