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Finding the Fourth Proportional to 144,234.96, 200,062.62 and 140,398.80

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Solution

The fourth proportional to 144,234.96, 200,062.62 and 140,398.80 is: 194,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,234.96 : 200,062.62 = 140,398.80 : x
  2. Step 2: Convert to fraction form
    144,234.96/200,062.62 = 140,398.80/x
  3. Step 3: Cross multiply
    144,234.96x = 200,062.62 × 140,398.80
  4. Step 4: Simplify right side
    144,234.96x = 28,088,551,772.86
  5. Step 5: Solve for x
    x = 28,088,551,772.86/144,234.96
  6. Step 6: Final answer
    x = 194,741.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.