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Finding the Fourth Proportional to 140,456.34, 193,830.42 and 76,794.12

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Solution

The fourth proportional to 140,456.34, 193,830.42 and 76,794.12 is: 105,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,456.34 : 193,830.42 = 76,794.12 : x
  2. Step 2: Convert to fraction form
    140,456.34/193,830.42 = 76,794.12/x
  3. Step 3: Cross multiply
    140,456.34x = 193,830.42 × 76,794.12
  4. Step 4: Simplify right side
    140,456.34x = 14,885,036,533.13
  5. Step 5: Solve for x
    x = 14,885,036,533.13/140,456.34
  6. Step 6: Final answer
    x = 105,976.25

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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.