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Finding the Fourth Proportional to 203,461.96, 280,776.12 and 112,817.88

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Solution

The fourth proportional to 203,461.96, 280,776.12 and 112,817.88 is: 155,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.96 : 280,776.12 = 112,817.88 : x
  2. Step 2: Convert to fraction form
    203,461.96/280,776.12 = 112,817.88/x
  3. Step 3: Cross multiply
    203,461.96x = 280,776.12 × 112,817.88
  4. Step 4: Simplify right side
    203,461.96x = 31,676,566,613.03
  5. Step 5: Solve for x
    x = 31,676,566,613.03/203,461.96
  6. Step 6: Final answer
    x = 155,687.91

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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.