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Finding the Fourth Proportional to 202,181.02, 278,919.60 and 117,248.86

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Solution

The fourth proportional to 202,181.02, 278,919.60 and 117,248.86 is: 161,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,181.02 : 278,919.60 = 117,248.86 : x
  2. Step 2: Convert to fraction form
    202,181.02/278,919.60 = 117,248.86/x
  3. Step 3: Cross multiply
    202,181.02x = 278,919.60 × 117,248.86
  4. Step 4: Simplify right side
    202,181.02x = 32,703,005,131.66
  5. Step 5: Solve for x
    x = 32,703,005,131.66/202,181.02
  6. Step 6: Final answer
    x = 161,751.11

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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.