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Finding the Fourth Proportional to 140,051.98, 193,268.46 and 76,390.30

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Solution

The fourth proportional to 140,051.98, 193,268.46 and 76,390.30 is: 105,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,051.98 : 193,268.46 = 76,390.30 : x
  2. Step 2: Convert to fraction form
    140,051.98/193,268.46 = 76,390.30/x
  3. Step 3: Cross multiply
    140,051.98x = 193,268.46 × 76,390.30
  4. Step 4: Simplify right side
    140,051.98x = 14,763,835,639.94
  5. Step 5: Solve for x
    x = 14,763,835,639.94/140,051.98
  6. Step 6: Final answer
    x = 105,416.83

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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.