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Finding the Fourth Proportional to 102,119.94, 140,915.65 and 59,090.85

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Solution

The fourth proportional to 102,119.94, 140,915.65 and 59,090.85 is: 81,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,119.94 : 140,915.65 = 59,090.85 : x
  2. Step 2: Convert to fraction form
    102,119.94/140,915.65 = 59,090.85/x
  3. Step 3: Cross multiply
    102,119.94x = 140,915.65 × 59,090.85
  4. Step 4: Simplify right side
    102,119.94x = 8,326,825,241.35
  5. Step 5: Solve for x
    x = 8,326,825,241.35/102,119.94
  6. Step 6: Final answer
    x = 81,539.66

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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.