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Finding the Fourth Proportional to 202,850.21, 279,911.74 and 112,191.77

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Solution

The fourth proportional to 202,850.21, 279,911.74 and 112,191.77 is: 154,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,850.21 : 279,911.74 = 112,191.77 : x
  2. Step 2: Convert to fraction form
    202,850.21/279,911.74 = 112,191.77/x
  3. Step 3: Cross multiply
    202,850.21x = 279,911.74 × 112,191.77
  4. Step 4: Simplify right side
    202,850.21x = 31,403,793,554.38
  5. Step 5: Solve for x
    x = 31,403,793,554.38/202,850.21
  6. Step 6: Final answer
    x = 154,812.72

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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.