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Finding the Fourth Proportional to 287,514.90, 431,355.65 and 119,004.12

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Solution

The fourth proportional to 287,514.90, 431,355.65 and 119,004.12 is: 178,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,514.90 : 431,355.65 = 119,004.12 : x
  2. Step 2: Convert to fraction form
    287,514.90/431,355.65 = 119,004.12/x
  3. Step 3: Cross multiply
    287,514.90x = 431,355.65 × 119,004.12
  4. Step 4: Simplify right side
    287,514.90x = 51,333,098,940.26
  5. Step 5: Solve for x
    x = 51,333,098,940.26/287,514.90
  6. Step 6: Final answer
    x = 178,540.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.