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Finding the Fourth Proportional to 209,154.68, 288,633.50 and 113,661.14

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Solution

The fourth proportional to 209,154.68, 288,633.50 and 113,661.14 is: 156,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,154.68 : 288,633.50 = 113,661.14 : x
  2. Step 2: Convert to fraction form
    209,154.68/288,633.50 = 113,661.14/x
  3. Step 3: Cross multiply
    209,154.68x = 288,633.50 × 113,661.14
  4. Step 4: Simplify right side
    209,154.68x = 32,806,410,640.72
  5. Step 5: Solve for x
    x = 32,806,410,640.72/209,154.68
  6. Step 6: Final answer
    x = 156,852.39

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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.