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Finding the Fourth Proportional to 202,372.68, 279,014.70 and 165,939.90

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Solution

The fourth proportional to 202,372.68, 279,014.70 and 165,939.90 is: 228,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,372.68 : 279,014.70 = 165,939.90 : x
  2. Step 2: Convert to fraction form
    202,372.68/279,014.70 = 165,939.90/x
  3. Step 3: Cross multiply
    202,372.68x = 279,014.70 × 165,939.90
  4. Step 4: Simplify right side
    202,372.68x = 46,299,671,416.53
  5. Step 5: Solve for x
    x = 46,299,671,416.53/202,372.68
  6. Step 6: Final answer
    x = 228,784.20

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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.