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Finding the Fourth Proportional to 209,854.08, 289,650.24 and 162,034.56

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Solution

The fourth proportional to 209,854.08, 289,650.24 and 162,034.56 is: 223,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.08 : 289,650.24 = 162,034.56 : x
  2. Step 2: Convert to fraction form
    209,854.08/289,650.24 = 162,034.56/x
  3. Step 3: Cross multiply
    209,854.08x = 289,650.24 × 162,034.56
  4. Step 4: Simplify right side
    209,854.08x = 46,933,349,192.29
  5. Step 5: Solve for x
    x = 46,933,349,192.29/209,854.08
  6. Step 6: Final answer
    x = 223,647.54

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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.