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Finding the Fourth Proportional to 216,570.30, 298,858.39 and 119,767.87

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Solution

The fourth proportional to 216,570.30, 298,858.39 and 119,767.87 is: 165,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,570.30 : 298,858.39 = 119,767.87 : x
  2. Step 2: Convert to fraction form
    216,570.30/298,858.39 = 119,767.87/x
  3. Step 3: Cross multiply
    216,570.30x = 298,858.39 × 119,767.87
  4. Step 4: Simplify right side
    216,570.30x = 35,793,632,801.93
  5. Step 5: Solve for x
    x = 35,793,632,801.93/216,570.30
  6. Step 6: Final answer
    x = 165,274.89

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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.