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Finding the Fourth Proportional to 105,114.19, 145,055.56 and 57,367.88

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Solution

The fourth proportional to 105,114.19, 145,055.56 and 57,367.88 is: 79,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.19 : 145,055.56 = 57,367.88 : x
  2. Step 2: Convert to fraction form
    105,114.19/145,055.56 = 57,367.88/x
  3. Step 3: Cross multiply
    105,114.19x = 145,055.56 × 57,367.88
  4. Step 4: Simplify right side
    105,114.19x = 8,321,529,959.41
  5. Step 5: Solve for x
    x = 8,321,529,959.41/105,114.19
  6. Step 6: Final answer
    x = 79,166.57

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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.