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Finding the Fourth Proportional to 105,733, 145,910.52 and 57,986.20

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Solution

The fourth proportional to 105,733, 145,910.52 and 57,986.20 is: 80,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,733 : 145,910.52 = 57,986.20 : x
  2. Step 2: Convert to fraction form
    105,733/145,910.52 = 57,986.20/x
  3. Step 3: Cross multiply
    105,733x = 145,910.52 × 57,986.20
  4. Step 4: Simplify right side
    105,733x = 8,460,796,594.82
  5. Step 5: Solve for x
    x = 8,460,796,594.82/105,733
  6. Step 6: Final answer
    x = 80,020.40

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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.