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Finding the Fourth Proportional to 200,599.32, 276,816.78 and 115,711.32

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Solution

The fourth proportional to 200,599.32, 276,816.78 and 115,711.32 is: 159,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,599.32 : 276,816.78 = 115,711.32 : x
  2. Step 2: Convert to fraction form
    200,599.32/276,816.78 = 115,711.32/x
  3. Step 3: Cross multiply
    200,599.32x = 276,816.78 × 115,711.32
  4. Step 4: Simplify right side
    200,599.32x = 32,030,835,011.95
  5. Step 5: Solve for x
    x = 32,030,835,011.95/200,599.32
  6. Step 6: Final answer
    x = 159,675.69

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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.