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Finding the Fourth Proportional to 209,158.38, 288,640.40 and 113,665.10

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Solution

The fourth proportional to 209,158.38, 288,640.40 and 113,665.10 is: 156,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,158.38 : 288,640.40 = 113,665.10 : x
  2. Step 2: Convert to fraction form
    209,158.38/288,640.40 = 113,665.10/x
  3. Step 3: Cross multiply
    209,158.38x = 288,640.40 × 113,665.10
  4. Step 4: Simplify right side
    209,158.38x = 32,808,337,918.51
  5. Step 5: Solve for x
    x = 32,808,337,918.51/209,158.38
  6. Step 6: Final answer
    x = 156,858.83

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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.