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Finding the Fourth Proportional to 105,056.19, 144,977.02 and 57,309.12

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Solution

The fourth proportional to 105,056.19, 144,977.02 and 57,309.12 is: 79,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,056.19 : 144,977.02 = 57,309.12 : x
  2. Step 2: Convert to fraction form
    105,056.19/144,977.02 = 57,309.12/x
  3. Step 3: Cross multiply
    105,056.19x = 144,977.02 × 57,309.12
  4. Step 4: Simplify right side
    105,056.19x = 8,308,505,436.42
  5. Step 5: Solve for x
    x = 8,308,505,436.42/105,056.19
  6. Step 6: Final answer
    x = 79,086.30

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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.