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Finding the Fourth Proportional to 87,434.69, 120,368.03 and 83,417.58

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Solution

The fourth proportional to 87,434.69, 120,368.03 and 83,417.58 is: 114,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,434.69 : 120,368.03 = 83,417.58 : x
  2. Step 2: Convert to fraction form
    87,434.69/120,368.03 = 83,417.58/x
  3. Step 3: Cross multiply
    87,434.69x = 120,368.03 × 83,417.58
  4. Step 4: Simplify right side
    87,434.69x = 10,040,809,354.88
  5. Step 5: Solve for x
    x = 10,040,809,354.88/87,434.69
  6. Step 6: Final answer
    x = 114,837.83

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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.