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Finding the Fourth Proportional to 142,149.84, 213,198.96 and 36,962.28

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Solution

The fourth proportional to 142,149.84, 213,198.96 and 36,962.28 is: 55,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,149.84 : 213,198.96 = 36,962.28 : x
  2. Step 2: Convert to fraction form
    142,149.84/213,198.96 = 36,962.28/x
  3. Step 3: Cross multiply
    142,149.84x = 213,198.96 × 36,962.28
  4. Step 4: Simplify right side
    142,149.84x = 7,880,319,655.23
  5. Step 5: Solve for x
    x = 7,880,319,655.23/142,149.84
  6. Step 6: Final answer
    x = 55,436.71

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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.