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Finding the Fourth Proportional to 202,467, 279,421.74 and 113,060.28

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Solution

The fourth proportional to 202,467, 279,421.74 and 113,060.28 is: 156,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,467 : 279,421.74 = 113,060.28 : x
  2. Step 2: Convert to fraction form
    202,467/279,421.74 = 113,060.28/x
  3. Step 3: Cross multiply
    202,467x = 279,421.74 × 113,060.28
  4. Step 4: Simplify right side
    202,467x = 31,591,500,162.49
  5. Step 5: Solve for x
    x = 31,591,500,162.49/202,467
  6. Step 6: Final answer
    x = 156,032.84

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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.