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Finding the Fourth Proportional to 140,433.13, 193,801.17 and 76,775.64

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Solution

The fourth proportional to 140,433.13, 193,801.17 and 76,775.64 is: 105,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,433.13 : 193,801.17 = 76,775.64 : x
  2. Step 2: Convert to fraction form
    140,433.13/193,801.17 = 76,775.64/x
  3. Step 3: Cross multiply
    140,433.13x = 193,801.17 × 76,775.64
  4. Step 4: Simplify right side
    140,433.13x = 14,879,208,859.50
  5. Step 5: Solve for x
    x = 14,879,208,859.50/140,433.13
  6. Step 6: Final answer
    x = 105,952.27

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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.