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Finding the Fourth Proportional to 202,716, 279,756.72 and 113,292

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Solution

The fourth proportional to 202,716, 279,756.72 and 113,292 is: 156,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,716 : 279,756.72 = 113,292 : x
  2. Step 2: Convert to fraction form
    202,716/279,756.72 = 113,292/x
  3. Step 3: Cross multiply
    202,716x = 279,756.72 × 113,292
  4. Step 4: Simplify right side
    202,716x = 31,694,198,322.24
  5. Step 5: Solve for x
    x = 31,694,198,322.24/202,716
  6. Step 6: Final answer
    x = 156,347.79

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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.