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Finding the Fourth Proportional to 202,484.80, 303,727.20 and 143,387.20

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Solution

The fourth proportional to 202,484.80, 303,727.20 and 143,387.20 is: 215,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,484.80 : 303,727.20 = 143,387.20 : x
  2. Step 2: Convert to fraction form
    202,484.80/303,727.20 = 143,387.20/x
  3. Step 3: Cross multiply
    202,484.80x = 303,727.20 × 143,387.20
  4. Step 4: Simplify right side
    202,484.80x = 43,550,592,771.84
  5. Step 5: Solve for x
    x = 43,550,592,771.84/202,484.80
  6. Step 6: Final answer
    x = 215,080.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.