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Finding the Fourth Proportional to 209,681.96, 289,399.01 and 123,635.81

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Solution

The fourth proportional to 209,681.96, 289,399.01 and 123,635.81 is: 170,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,681.96 : 289,399.01 = 123,635.81 : x
  2. Step 2: Convert to fraction form
    209,681.96/289,399.01 = 123,635.81/x
  3. Step 3: Cross multiply
    209,681.96x = 289,399.01 × 123,635.81
  4. Step 4: Simplify right side
    209,681.96x = 35,780,078,949.37
  5. Step 5: Solve for x
    x = 35,780,078,949.37/209,681.96
  6. Step 6: Final answer
    x = 170,639.76

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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.