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Finding the Fourth Proportional to 333,098.50, 459,683.22 and 182,195.50

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Solution

The fourth proportional to 333,098.50, 459,683.22 and 182,195.50 is: 251,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,098.50 : 459,683.22 = 182,195.50 : x
  2. Step 2: Convert to fraction form
    333,098.50/459,683.22 = 182,195.50/x
  3. Step 3: Cross multiply
    333,098.50x = 459,683.22 × 182,195.50
  4. Step 4: Simplify right side
    333,098.50x = 83,752,214,109.51
  5. Step 5: Solve for x
    x = 83,752,214,109.51/333,098.50
  6. Step 6: Final answer
    x = 251,433.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.