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Finding the Fourth Proportional to 133,651.48, 200,514 and 118,963

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Solution

The fourth proportional to 133,651.48, 200,514 and 118,963 is: 178,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,651.48 : 200,514 = 118,963 : x
  2. Step 2: Convert to fraction form
    133,651.48/200,514 = 118,963/x
  3. Step 3: Cross multiply
    133,651.48x = 200,514 × 118,963
  4. Step 4: Simplify right side
    133,651.48x = 23,853,746,982
  5. Step 5: Solve for x
    x = 23,853,746,982/133,651.48
  6. Step 6: Final answer
    x = 178,477.24

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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.