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Finding the Fourth Proportional to 146,051.10, 218,992.14 and 57,200.58

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Solution

The fourth proportional to 146,051.10, 218,992.14 and 57,200.58 is: 85,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,051.10 : 218,992.14 = 57,200.58 : x
  2. Step 2: Convert to fraction form
    146,051.10/218,992.14 = 57,200.58/x
  3. Step 3: Cross multiply
    146,051.10x = 218,992.14 × 57,200.58
  4. Step 4: Simplify right side
    146,051.10x = 12,526,477,423.44
  5. Step 5: Solve for x
    x = 12,526,477,423.44/146,051.10
  6. Step 6: Final answer
    x = 85,767.77

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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.