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Finding the Fourth Proportional to 243,731.80, 365,079.30 and 202,259.80

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Solution

The fourth proportional to 243,731.80, 365,079.30 and 202,259.80 is: 302,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,731.80 : 365,079.30 = 202,259.80 : x
  2. Step 2: Convert to fraction form
    243,731.80/365,079.30 = 202,259.80/x
  3. Step 3: Cross multiply
    243,731.80x = 365,079.30 × 202,259.80
  4. Step 4: Simplify right side
    243,731.80x = 73,840,866,202.14
  5. Step 5: Solve for x
    x = 73,840,866,202.14/243,731.80
  6. Step 6: Final answer
    x = 302,959.51

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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.