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Finding the Fourth Proportional to 209,153.34, 313,801.02 and 76,044.24

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Solution

The fourth proportional to 209,153.34, 313,801.02 and 76,044.24 is: 114,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,153.34 : 313,801.02 = 76,044.24 : x
  2. Step 2: Convert to fraction form
    209,153.34/313,801.02 = 76,044.24/x
  3. Step 3: Cross multiply
    209,153.34x = 313,801.02 × 76,044.24
  4. Step 4: Simplify right side
    209,153.34x = 23,862,760,077.12
  5. Step 5: Solve for x
    x = 23,862,760,077.12/209,153.34
  6. Step 6: Final answer
    x = 114,092.18

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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.