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Finding the Fourth Proportional to 126,966.80, 190,463.16 and 43,850

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Solution

The fourth proportional to 126,966.80, 190,463.16 and 43,850 is: 65,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,966.80 : 190,463.16 = 43,850 : x
  2. Step 2: Convert to fraction form
    126,966.80/190,463.16 = 43,850/x
  3. Step 3: Cross multiply
    126,966.80x = 190,463.16 × 43,850
  4. Step 4: Simplify right side
    126,966.80x = 8,351,809,566
  5. Step 5: Solve for x
    x = 8,351,809,566/126,966.80
  6. Step 6: Final answer
    x = 65,779.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.