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Finding the Fourth Proportional to 203,200.84, 280,384.50 and 127,695.88

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Solution

The fourth proportional to 203,200.84, 280,384.50 and 127,695.88 is: 176,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.84 : 280,384.50 = 127,695.88 : x
  2. Step 2: Convert to fraction form
    203,200.84/280,384.50 = 127,695.88/x
  3. Step 3: Cross multiply
    203,200.84x = 280,384.50 × 127,695.88
  4. Step 4: Simplify right side
    203,200.84x = 35,803,945,465.86
  5. Step 5: Solve for x
    x = 35,803,945,465.86/203,200.84
  6. Step 6: Final answer
    x = 176,199.79

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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.