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Finding the Fourth Proportional to 140,080.34, 193,311.33 and 76,419.47

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Solution

The fourth proportional to 140,080.34, 193,311.33 and 76,419.47 is: 105,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080.34 : 193,311.33 = 76,419.47 : x
  2. Step 2: Convert to fraction form
    140,080.34/193,311.33 = 76,419.47/x
  3. Step 3: Cross multiply
    140,080.34x = 193,311.33 × 76,419.47
  4. Step 4: Simplify right side
    140,080.34x = 14,772,749,580.30
  5. Step 5: Solve for x
    x = 14,772,749,580.30/140,080.34
  6. Step 6: Final answer
    x = 105,459.12

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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.