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Finding the Fourth Proportional to 209,389.86, 288,965.61 and 119,983.14

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Solution

The fourth proportional to 209,389.86, 288,965.61 and 119,983.14 is: 165,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,389.86 : 288,965.61 = 119,983.14 : x
  2. Step 2: Convert to fraction form
    209,389.86/288,965.61 = 119,983.14/x
  3. Step 3: Cross multiply
    209,389.86x = 288,965.61 × 119,983.14
  4. Step 4: Simplify right side
    209,389.86x = 34,671,001,239.82
  5. Step 5: Solve for x
    x = 34,671,001,239.82/209,389.86
  6. Step 6: Final answer
    x = 165,581.09

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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.