Home / 205,101.36-307,209.15-200,082.20

Finding the Fourth Proportional to 205,101.36, 307,209.15 and 200,082.20

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Solution

The fourth proportional to 205,101.36, 307,209.15 and 200,082.20 is: 299,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,101.36 : 307,209.15 = 200,082.20 : x
  2. Step 2: Convert to fraction form
    205,101.36/307,209.15 = 200,082.20/x
  3. Step 3: Cross multiply
    205,101.36x = 307,209.15 × 200,082.20
  4. Step 4: Simplify right side
    205,101.36x = 61,467,081,056.08
  5. Step 5: Solve for x
    x = 61,467,081,056.08/205,101.36
  6. Step 6: Final answer
    x = 299,691.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.