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Finding the Fourth Proportional to 140,195.88, 193,473.63 and 76,534.16

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Solution

The fourth proportional to 140,195.88, 193,473.63 and 76,534.16 is: 105,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,195.88 : 193,473.63 = 76,534.16 : x
  2. Step 2: Convert to fraction form
    140,195.88/193,473.63 = 76,534.16/x
  3. Step 3: Cross multiply
    140,195.88x = 193,473.63 × 76,534.16
  4. Step 4: Simplify right side
    140,195.88x = 14,807,340,786.83
  5. Step 5: Solve for x
    x = 14,807,340,786.83/140,195.88
  6. Step 6: Final answer
    x = 105,618.94

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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.