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Finding the Fourth Proportional to 209,486.36, 289,382.75 and 201,709.17

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Solution

The fourth proportional to 209,486.36, 289,382.75 and 201,709.17 is: 278,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,486.36 : 289,382.75 = 201,709.17 : x
  2. Step 2: Convert to fraction form
    209,486.36/289,382.75 = 201,709.17/x
  3. Step 3: Cross multiply
    209,486.36x = 289,382.75 × 201,709.17
  4. Step 4: Simplify right side
    209,486.36x = 58,371,154,314.82
  5. Step 5: Solve for x
    x = 58,371,154,314.82/209,486.36
  6. Step 6: Final answer
    x = 278,639.40

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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.