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Finding the Fourth Proportional to 256,809.58, 354,406.90 and 140,530.86

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Solution

The fourth proportional to 256,809.58, 354,406.90 and 140,530.86 is: 193,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,809.58 : 354,406.90 = 140,530.86 : x
  2. Step 2: Convert to fraction form
    256,809.58/354,406.90 = 140,530.86/x
  3. Step 3: Cross multiply
    256,809.58x = 354,406.90 × 140,530.86
  4. Step 4: Simplify right side
    256,809.58x = 49,805,106,446.93
  5. Step 5: Solve for x
    x = 49,805,106,446.93/256,809.58
  6. Step 6: Final answer
    x = 193,937.88

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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.