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Finding the Fourth Proportional to 209,323.77, 288,874.42 and 119,917.05

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Solution

The fourth proportional to 209,323.77, 288,874.42 and 119,917.05 is: 165,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.77 : 288,874.42 = 119,917.05 : x
  2. Step 2: Convert to fraction form
    209,323.77/288,874.42 = 119,917.05/x
  3. Step 3: Cross multiply
    209,323.77x = 288,874.42 × 119,917.05
  4. Step 4: Simplify right side
    209,323.77x = 34,640,966,883.79
  5. Step 5: Solve for x
    x = 34,640,966,883.79/209,323.77
  6. Step 6: Final answer
    x = 165,489.89

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1.5x scale

Why These Related Problems?

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