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Finding the Fourth Proportional to 256,065.96, 353,394.48 and 141,365.16

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Solution

The fourth proportional to 256,065.96, 353,394.48 and 141,365.16 is: 195,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,065.96 : 353,394.48 = 141,365.16 : x
  2. Step 2: Convert to fraction form
    256,065.96/353,394.48 = 141,365.16/x
  3. Step 3: Cross multiply
    256,065.96x = 353,394.48 × 141,365.16
  4. Step 4: Simplify right side
    256,065.96x = 49,957,667,208.32
  5. Step 5: Solve for x
    x = 49,957,667,208.32/256,065.96
  6. Step 6: Final answer
    x = 195,096.87

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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.