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Finding the Fourth Proportional to 144,224.96, 200,048.72 and 140,388.80

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Solution

The fourth proportional to 144,224.96, 200,048.72 and 140,388.80 is: 194,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,224.96 : 200,048.72 = 140,388.80 : x
  2. Step 2: Convert to fraction form
    144,224.96/200,048.72 = 140,388.80/x
  3. Step 3: Cross multiply
    144,224.96x = 200,048.72 × 140,388.80
  4. Step 4: Simplify right side
    144,224.96x = 28,084,599,742.34
  5. Step 5: Solve for x
    x = 28,084,599,742.34/144,224.96
  6. Step 6: Final answer
    x = 194,727.73

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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.