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Finding the Fourth Proportional to 209,354.14, 288,983.87 and 124,471

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Solution

The fourth proportional to 209,354.14, 288,983.87 and 124,471 is: 171,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.14 : 288,983.87 = 124,471 : x
  2. Step 2: Convert to fraction form
    209,354.14/288,983.87 = 124,471/x
  3. Step 3: Cross multiply
    209,354.14x = 288,983.87 × 124,471
  4. Step 4: Simplify right side
    209,354.14x = 35,970,111,282.77
  5. Step 5: Solve for x
    x = 35,970,111,282.77/209,354.14
  6. Step 6: Final answer
    x = 171,814.66

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