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Finding the Fourth Proportional to 90,206.64, 135,162.22 and 48,041.96

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Solution

The fourth proportional to 90,206.64, 135,162.22 and 48,041.96 is: 71,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,206.64 : 135,162.22 = 48,041.96 : x
  2. Step 2: Convert to fraction form
    90,206.64/135,162.22 = 48,041.96/x
  3. Step 3: Cross multiply
    90,206.64x = 135,162.22 × 48,041.96
  4. Step 4: Simplify right side
    90,206.64x = 6,493,457,966.75
  5. Step 5: Solve for x
    x = 6,493,457,966.75/90,206.64
  6. Step 6: Final answer
    x = 71,984.26

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Why These Related Problems?

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