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Finding the Fourth Proportional to 256,209.62, 353,565.58 and 141,493.11

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Solution

The fourth proportional to 256,209.62, 353,565.58 and 141,493.11 is: 195,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,209.62 : 353,565.58 = 141,493.11 : x
  2. Step 2: Convert to fraction form
    256,209.62/353,565.58 = 141,493.11/x
  3. Step 3: Cross multiply
    256,209.62x = 353,565.58 × 141,493.11
  4. Step 4: Simplify right side
    256,209.62x = 50,027,094,674.11
  5. Step 5: Solve for x
    x = 50,027,094,674.11/256,209.62
  6. Step 6: Final answer
    x = 195,258.46

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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.