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Finding the Fourth Proportional to 140,386.56, 193,733 and 76,724.34

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Solution

The fourth proportional to 140,386.56, 193,733 and 76,724.34 is: 105,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,386.56 : 193,733 = 76,724.34 : x
  2. Step 2: Convert to fraction form
    140,386.56/193,733 = 76,724.34/x
  3. Step 3: Cross multiply
    140,386.56x = 193,733 × 76,724.34
  4. Step 4: Simplify right side
    140,386.56x = 14,864,036,561.22
  5. Step 5: Solve for x
    x = 14,864,036,561.22/140,386.56
  6. Step 6: Final answer
    x = 105,879.34

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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.