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Finding the Fourth Proportional to 132,206.42, 182,444.98 and 71,777.03

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Solution

The fourth proportional to 132,206.42, 182,444.98 and 71,777.03 is: 99,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206.42 : 182,444.98 = 71,777.03 : x
  2. Step 2: Convert to fraction form
    132,206.42/182,444.98 = 71,777.03/x
  3. Step 3: Cross multiply
    132,206.42x = 182,444.98 × 71,777.03
  4. Step 4: Simplify right side
    132,206.42x = 13,095,357,711.14
  5. Step 5: Solve for x
    x = 13,095,357,711.14/132,206.42
  6. Step 6: Final answer
    x = 99,052.36

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