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Finding the Fourth Proportional to 202,101.24, 278,896.86 and 117,232.68

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Solution

The fourth proportional to 202,101.24, 278,896.86 and 117,232.68 is: 161,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.24 : 278,896.86 = 117,232.68 : x
  2. Step 2: Convert to fraction form
    202,101.24/278,896.86 = 117,232.68/x
  3. Step 3: Cross multiply
    202,101.24x = 278,896.86 × 117,232.68
  4. Step 4: Simplify right side
    202,101.24x = 32,695,826,341.38
  5. Step 5: Solve for x
    x = 32,695,826,341.38/202,101.24
  6. Step 6: Final answer
    x = 161,779.44

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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.