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Finding the Fourth Proportional to 200,597.32, 276,814.02 and 115,709.32

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Solution

The fourth proportional to 200,597.32, 276,814.02 and 115,709.32 is: 159,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,597.32 : 276,814.02 = 115,709.32 : x
  2. Step 2: Convert to fraction form
    200,597.32/276,814.02 = 115,709.32/x
  3. Step 3: Cross multiply
    200,597.32x = 276,814.02 × 115,709.32
  4. Step 4: Simplify right side
    200,597.32x = 32,029,962,020.67
  5. Step 5: Solve for x
    x = 32,029,962,020.67/200,597.32
  6. Step 6: Final answer
    x = 159,672.93

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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.