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Finding the Fourth Proportional to 105,269.80, 145,270.58 and 57,522.12

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Solution

The fourth proportional to 105,269.80, 145,270.58 and 57,522.12 is: 79,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,269.80 : 145,270.58 = 57,522.12 : x
  2. Step 2: Convert to fraction form
    105,269.80/145,270.58 = 57,522.12/x
  3. Step 3: Cross multiply
    105,269.80x = 145,270.58 × 57,522.12
  4. Step 4: Simplify right side
    105,269.80x = 8,356,271,735.23
  5. Step 5: Solve for x
    x = 8,356,271,735.23/105,269.80
  6. Step 6: Final answer
    x = 79,379.57

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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.