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Finding the Fourth Proportional to 105,452.42, 145,523.71 and 57,054.19

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Solution

The fourth proportional to 105,452.42, 145,523.71 and 57,054.19 is: 78,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.42 : 145,523.71 = 57,054.19 : x
  2. Step 2: Convert to fraction form
    105,452.42/145,523.71 = 57,054.19/x
  3. Step 3: Cross multiply
    105,452.42x = 145,523.71 × 57,054.19
  4. Step 4: Simplify right side
    105,452.42x = 8,302,736,893.40
  5. Step 5: Solve for x
    x = 8,302,736,893.40/105,452.42
  6. Step 6: Final answer
    x = 78,734.43

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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.