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Finding the Fourth Proportional to 120,153.05, 165,815.63 and 77,711.58

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Solution

The fourth proportional to 120,153.05, 165,815.63 and 77,711.58 is: 107,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,153.05 : 165,815.63 = 77,711.58 : x
  2. Step 2: Convert to fraction form
    120,153.05/165,815.63 = 77,711.58/x
  3. Step 3: Cross multiply
    120,153.05x = 165,815.63 × 77,711.58
  4. Step 4: Simplify right side
    120,153.05x = 12,885,794,596.00
  5. Step 5: Solve for x
    x = 12,885,794,596.00/120,153.05
  6. Step 6: Final answer
    x = 107,244.84

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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.