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Finding the Fourth Proportional to 256,412.12, 353,846.80 and 141,698.51

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Solution

The fourth proportional to 256,412.12, 353,846.80 and 141,698.51 is: 195,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,412.12 : 353,846.80 = 141,698.51 : x
  2. Step 2: Convert to fraction form
    256,412.12/353,846.80 = 141,698.51/x
  3. Step 3: Cross multiply
    256,412.12x = 353,846.80 × 141,698.51
  4. Step 4: Simplify right side
    256,412.12x = 50,139,562,204.79
  5. Step 5: Solve for x
    x = 50,139,562,204.79/256,412.12
  6. Step 6: Final answer
    x = 195,542.87

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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.