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Finding the Fourth Proportional to 158,200.88, 218,372.76 and 97,817.84

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Solution

The fourth proportional to 158,200.88, 218,372.76 and 97,817.84 is: 135,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,200.88 : 218,372.76 = 97,817.84 : x
  2. Step 2: Convert to fraction form
    158,200.88/218,372.76 = 97,817.84/x
  3. Step 3: Cross multiply
    158,200.88x = 218,372.76 × 97,817.84
  4. Step 4: Simplify right side
    158,200.88x = 21,360,751,698.04
  5. Step 5: Solve for x
    x = 21,360,751,698.04/158,200.88
  6. Step 6: Final answer
    x = 135,022.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.