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Finding the Fourth Proportional to 209,488.36, 289,385.51 and 201,711.17

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Solution

The fourth proportional to 209,488.36, 289,385.51 and 201,711.17 is: 278,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,488.36 : 289,385.51 = 201,711.17 : x
  2. Step 2: Convert to fraction form
    209,488.36/289,385.51 = 201,711.17/x
  3. Step 3: Cross multiply
    209,488.36x = 289,385.51 × 201,711.17
  4. Step 4: Simplify right side
    209,488.36x = 58,372,289,803.15
  5. Step 5: Solve for x
    x = 58,372,289,803.15/209,488.36
  6. Step 6: Final answer
    x = 278,642.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.