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Finding the Fourth Proportional to 135,565.50, 203,348.25 and 37,069.50

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Solution

The fourth proportional to 135,565.50, 203,348.25 and 37,069.50 is: 55,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,565.50 : 203,348.25 = 37,069.50 : x
  2. Step 2: Convert to fraction form
    135,565.50/203,348.25 = 37,069.50/x
  3. Step 3: Cross multiply
    135,565.50x = 203,348.25 × 37,069.50
  4. Step 4: Simplify right side
    135,565.50x = 7,538,017,953.38
  5. Step 5: Solve for x
    x = 7,538,017,953.38/135,565.50
  6. Step 6: Final answer
    x = 55,604.25

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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.