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Finding the Fourth Proportional to 106,060.40, 158,744.40 and 77,973

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Solution

The fourth proportional to 106,060.40, 158,744.40 and 77,973 is: 116,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,060.40 : 158,744.40 = 77,973 : x
  2. Step 2: Convert to fraction form
    106,060.40/158,744.40 = 77,973/x
  3. Step 3: Cross multiply
    106,060.40x = 158,744.40 × 77,973
  4. Step 4: Simplify right side
    106,060.40x = 12,377,777,101.20
  5. Step 5: Solve for x
    x = 12,377,777,101.20/106,060.40
  6. Step 6: Final answer
    x = 116,704.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.