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Finding the Fourth Proportional to 256,369.86, 353,797.54 and 141,655.89

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Solution

The fourth proportional to 256,369.86, 353,797.54 and 141,655.89 is: 195,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,369.86 : 353,797.54 = 141,655.89 : x
  2. Step 2: Convert to fraction form
    256,369.86/353,797.54 = 141,655.89/x
  3. Step 3: Cross multiply
    256,369.86x = 353,797.54 × 141,655.89
  4. Step 4: Simplify right side
    256,369.86x = 50,117,505,408.51
  5. Step 5: Solve for x
    x = 50,117,505,408.51/256,369.86
  6. Step 6: Final answer
    x = 195,489.07

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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.