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Finding the Fourth Proportional to 105,429.60, 145,490.58 and 57,682.80

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Solution

The fourth proportional to 105,429.60, 145,490.58 and 57,682.80 is: 79,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,429.60 : 145,490.58 = 57,682.80 : x
  2. Step 2: Convert to fraction form
    105,429.60/145,490.58 = 57,682.80/x
  3. Step 3: Cross multiply
    105,429.60x = 145,490.58 × 57,682.80
  4. Step 4: Simplify right side
    105,429.60x = 8,392,304,028.02
  5. Step 5: Solve for x
    x = 8,392,304,028.02/105,429.60
  6. Step 6: Final answer
    x = 79,601.02

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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.