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Finding the Fourth Proportional to 140,438.50, 193,805.10 and 76,776.28

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Solution

The fourth proportional to 140,438.50, 193,805.10 and 76,776.28 is: 105,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,438.50 : 193,805.10 = 76,776.28 : x
  2. Step 2: Convert to fraction form
    140,438.50/193,805.10 = 76,776.28/x
  3. Step 3: Cross multiply
    140,438.50x = 193,805.10 × 76,776.28
  4. Step 4: Simplify right side
    140,438.50x = 14,879,634,623.03
  5. Step 5: Solve for x
    x = 14,879,634,623.03/140,438.50
  6. Step 6: Final answer
    x = 105,951.25

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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.