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Finding the Fourth Proportional to 243,814.70, 365,722.05 and 202,342.70

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Solution

The fourth proportional to 243,814.70, 365,722.05 and 202,342.70 is: 303,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,814.70 : 365,722.05 = 202,342.70 : x
  2. Step 2: Convert to fraction form
    243,814.70/365,722.05 = 202,342.70/x
  3. Step 3: Cross multiply
    243,814.70x = 365,722.05 × 202,342.70
  4. Step 4: Simplify right side
    243,814.70x = 74,001,187,046.54
  5. Step 5: Solve for x
    x = 74,001,187,046.54/243,814.70
  6. Step 6: Final answer
    x = 303,514.05

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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.