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Finding the Fourth Proportional to 140,119.64, 193,363.49 and 76,458.50

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Solution

The fourth proportional to 140,119.64, 193,363.49 and 76,458.50 is: 105,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,119.64 : 193,363.49 = 76,458.50 : x
  2. Step 2: Convert to fraction form
    140,119.64/193,363.49 = 76,458.50/x
  3. Step 3: Cross multiply
    140,119.64x = 193,363.49 × 76,458.50
  4. Step 4: Simplify right side
    140,119.64x = 14,784,281,051.06
  5. Step 5: Solve for x
    x = 14,784,281,051.06/140,119.64
  6. Step 6: Final answer
    x = 105,511.84

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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.