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Finding the Fourth Proportional to 105,132.90, 145,086.84 and 57,388.80

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Solution

The fourth proportional to 105,132.90, 145,086.84 and 57,388.80 is: 79,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,132.90 : 145,086.84 = 57,388.80 : x
  2. Step 2: Convert to fraction form
    105,132.90/145,086.84 = 57,388.80/x
  3. Step 3: Cross multiply
    105,132.90x = 145,086.84 × 57,388.80
  4. Step 4: Simplify right side
    105,132.90x = 8,326,359,643.39
  5. Step 5: Solve for x
    x = 8,326,359,643.39/105,132.90
  6. Step 6: Final answer
    x = 79,198.42

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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.