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Finding the Fourth Proportional to 203,254.80, 280,468.50 and 112,588.16

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Solution

The fourth proportional to 203,254.80, 280,468.50 and 112,588.16 is: 155,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,254.80 : 280,468.50 = 112,588.16 : x
  2. Step 2: Convert to fraction form
    203,254.80/280,468.50 = 112,588.16/x
  3. Step 3: Cross multiply
    203,254.80x = 280,468.50 × 112,588.16
  4. Step 4: Simplify right side
    203,254.80x = 31,577,432,352.96
  5. Step 5: Solve for x
    x = 31,577,432,352.96/203,254.80
  6. Step 6: Final answer
    x = 155,358.85

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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.