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Finding the Fourth Proportional to 150,701.56, 207,984.80 and 96,304

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Solution

The fourth proportional to 150,701.56, 207,984.80 and 96,304 is: 132,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,701.56 : 207,984.80 = 96,304 : x
  2. Step 2: Convert to fraction form
    150,701.56/207,984.80 = 96,304/x
  3. Step 3: Cross multiply
    150,701.56x = 207,984.80 × 96,304
  4. Step 4: Simplify right side
    150,701.56x = 20,029,768,179.20
  5. Step 5: Solve for x
    x = 20,029,768,179.20/150,701.56
  6. Step 6: Final answer
    x = 132,910.16

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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.