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Finding the Fourth Proportional to 105,149.80, 145,108.92 and 57,405.16

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Solution

The fourth proportional to 105,149.80, 145,108.92 and 57,405.16 is: 79,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,149.80 : 145,108.92 = 57,405.16 : x
  2. Step 2: Convert to fraction form
    105,149.80/145,108.92 = 57,405.16/x
  3. Step 3: Cross multiply
    105,149.80x = 145,108.92 × 57,405.16
  4. Step 4: Simplify right side
    105,149.80x = 8,330,000,770.03
  5. Step 5: Solve for x
    x = 8,330,000,770.03/105,149.80
  6. Step 6: Final answer
    x = 79,220.32

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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.