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Finding the Fourth Proportional to 132,397.83, 182,667.02 and 82,125.99

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Solution

The fourth proportional to 132,397.83, 182,667.02 and 82,125.99 is: 113,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,397.83 : 182,667.02 = 82,125.99 : x
  2. Step 2: Convert to fraction form
    132,397.83/182,667.02 = 82,125.99/x
  3. Step 3: Cross multiply
    132,397.83x = 182,667.02 × 82,125.99
  4. Step 4: Simplify right side
    132,397.83x = 15,001,709,447.22
  5. Step 5: Solve for x
    x = 15,001,709,447.22/132,397.83
  6. Step 6: Final answer
    x = 113,307.82

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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.