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Finding the Fourth Proportional to 209,576, 289,244.16 and 134,284.88

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Solution

The fourth proportional to 209,576, 289,244.16 and 134,284.88 is: 185,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,576 : 289,244.16 = 134,284.88 : x
  2. Step 2: Convert to fraction form
    209,576/289,244.16 = 134,284.88/x
  3. Step 3: Cross multiply
    209,576x = 289,244.16 × 134,284.88
  4. Step 4: Simplify right side
    209,576x = 38,841,117,316.30
  5. Step 5: Solve for x
    x = 38,841,117,316.30/209,576
  6. Step 6: Final answer
    x = 185,331.90

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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.