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Finding the Fourth Proportional to 105,211.44, 145,191.79 and 57,464.90

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Solution

The fourth proportional to 105,211.44, 145,191.79 and 57,464.90 is: 79,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,211.44 : 145,191.79 = 57,464.90 : x
  2. Step 2: Convert to fraction form
    105,211.44/145,191.79 = 57,464.90/x
  3. Step 3: Cross multiply
    105,211.44x = 145,191.79 × 57,464.90
  4. Step 4: Simplify right side
    105,211.44x = 8,343,432,400.22
  5. Step 5: Solve for x
    x = 8,343,432,400.22/105,211.44
  6. Step 6: Final answer
    x = 79,301.57

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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.