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Finding the Fourth Proportional to 205,082.10, 286,415.10 and 205,082.10

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Solution

The fourth proportional to 205,082.10, 286,415.10 and 205,082.10 is: 286,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,082.10 : 286,415.10 = 205,082.10 : x
  2. Step 2: Convert to fraction form
    205,082.10/286,415.10 = 205,082.10/x
  3. Step 3: Cross multiply
    205,082.10x = 286,415.10 × 205,082.10
  4. Step 4: Simplify right side
    205,082.10x = 58,738,610,179.71
  5. Step 5: Solve for x
    x = 58,738,610,179.71/205,082.10
  6. Step 6: Final answer
    x = 286,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.