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Finding the Fourth Proportional to 256,804.57, 354,400 and 140,525.86

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Solution

The fourth proportional to 256,804.57, 354,400 and 140,525.86 is: 193,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,804.57 : 354,400 = 140,525.86 : x
  2. Step 2: Convert to fraction form
    256,804.57/354,400 = 140,525.86/x
  3. Step 3: Cross multiply
    256,804.57x = 354,400 × 140,525.86
  4. Step 4: Simplify right side
    256,804.57x = 49,802,364,784.00
  5. Step 5: Solve for x
    x = 49,802,364,784.00/256,804.57
  6. Step 6: Final answer
    x = 193,930.99

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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.