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Finding the Fourth Proportional to 256,501.58, 353,965.98 and 140,209.88

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Solution

The fourth proportional to 256,501.58, 353,965.98 and 140,209.88 is: 193,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.58 : 353,965.98 = 140,209.88 : x
  2. Step 2: Convert to fraction form
    256,501.58/353,965.98 = 140,209.88/x
  3. Step 3: Cross multiply
    256,501.58x = 353,965.98 × 140,209.88
  4. Step 4: Simplify right side
    256,501.58x = 49,629,525,810.05
  5. Step 5: Solve for x
    x = 49,629,525,810.05/256,501.58
  6. Step 6: Final answer
    x = 193,486.24

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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.