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Finding the Fourth Proportional to 99,538.80, 149,308.20 and 37,201.20

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Solution

The fourth proportional to 99,538.80, 149,308.20 and 37,201.20 is: 55,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538.80 : 149,308.20 = 37,201.20 : x
  2. Step 2: Convert to fraction form
    99,538.80/149,308.20 = 37,201.20/x
  3. Step 3: Cross multiply
    99,538.80x = 149,308.20 × 37,201.20
  4. Step 4: Simplify right side
    99,538.80x = 5,554,444,209.84
  5. Step 5: Solve for x
    x = 5,554,444,209.84/99,538.80
  6. Step 6: Final answer
    x = 55,801.80

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1.5x scale

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.