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Finding the Fourth Proportional to 256,596.69, 354,089.14 and 141,868.69

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Solution

The fourth proportional to 256,596.69, 354,089.14 and 141,868.69 is: 195,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596.69 : 354,089.14 = 141,868.69 : x
  2. Step 2: Convert to fraction form
    256,596.69/354,089.14 = 141,868.69/x
  3. Step 3: Cross multiply
    256,596.69x = 354,089.14 × 141,868.69
  4. Step 4: Simplify right side
    256,596.69x = 50,234,161,725.68
  5. Step 5: Solve for x
    x = 50,234,161,725.68/256,596.69
  6. Step 6: Final answer
    x = 195,770.89

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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.