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Finding the Fourth Proportional to 243,732.80, 365,080.80 and 202,260.80

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Solution

The fourth proportional to 243,732.80, 365,080.80 and 202,260.80 is: 302,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,732.80 : 365,080.80 = 202,260.80 : x
  2. Step 2: Convert to fraction form
    243,732.80/365,080.80 = 202,260.80/x
  3. Step 3: Cross multiply
    243,732.80x = 365,080.80 × 202,260.80
  4. Step 4: Simplify right side
    243,732.80x = 73,841,534,672.64
  5. Step 5: Solve for x
    x = 73,841,534,672.64/243,732.80
  6. Step 6: Final answer
    x = 302,961.01

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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.