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Finding the Fourth Proportional to 120,977.06, 166,948.35 and 67,985.06

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Solution

The fourth proportional to 120,977.06, 166,948.35 and 67,985.06 is: 93,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,977.06 : 166,948.35 = 67,985.06 : x
  2. Step 2: Convert to fraction form
    120,977.06/166,948.35 = 67,985.06/x
  3. Step 3: Cross multiply
    120,977.06x = 166,948.35 × 67,985.06
  4. Step 4: Simplify right side
    120,977.06x = 11,349,993,754.08
  5. Step 5: Solve for x
    x = 11,349,993,754.08/120,977.06
  6. Step 6: Final answer
    x = 93,819.39

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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.