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Finding the Fourth Proportional to 202,597, 279,583.86 and 113,173

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Solution

The fourth proportional to 202,597, 279,583.86 and 113,173 is: 156,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,597 : 279,583.86 = 113,173 : x
  2. Step 2: Convert to fraction form
    202,597/279,583.86 = 113,173/x
  3. Step 3: Cross multiply
    202,597x = 279,583.86 × 113,173
  4. Step 4: Simplify right side
    202,597x = 31,641,344,187.78
  5. Step 5: Solve for x
    x = 31,641,344,187.78/202,597
  6. Step 6: Final answer
    x = 156,178.74

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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.