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Finding the Fourth Proportional to 120,443.68, 166,290.27 and 77,442.48

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Solution

The fourth proportional to 120,443.68, 166,290.27 and 77,442.48 is: 106,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,443.68 : 166,290.27 = 77,442.48 : x
  2. Step 2: Convert to fraction form
    120,443.68/166,290.27 = 77,442.48/x
  3. Step 3: Cross multiply
    120,443.68x = 166,290.27 × 77,442.48
  4. Step 4: Simplify right side
    120,443.68x = 12,877,930,618.26
  5. Step 5: Solve for x
    x = 12,877,930,618.26/120,443.68
  6. Step 6: Final answer
    x = 106,920.77

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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.