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Finding the Fourth Proportional to 209,464.38, 289,048.50 and 117,575.01

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Solution

The fourth proportional to 209,464.38, 289,048.50 and 117,575.01 is: 162,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,464.38 : 289,048.50 = 117,575.01 : x
  2. Step 2: Convert to fraction form
    209,464.38/289,048.50 = 117,575.01/x
  3. Step 3: Cross multiply
    209,464.38x = 289,048.50 × 117,575.01
  4. Step 4: Simplify right side
    209,464.38x = 33,984,880,277.99
  5. Step 5: Solve for x
    x = 33,984,880,277.99/209,464.38
  6. Step 6: Final answer
    x = 162,246.58

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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.